NBC News announced yesterday that it will broadcast an exclusive one-on-one interview with Soviet General Secretary Mikhail S. Gorbachev on Monday evening, Nov. 30.

"A Conversation With Mikhail S. Gorbachev" will air from 8 to 9 that evening. The interview will be conducted by "NBC Nightly News" anchor Tom Brokaw.

The Soviet leader arrives in Washington Dec. 7 for a summit meeting with President Reagan that begins Dec. 8 and concludes Dec. 10.

All three major networks and Cable News Network had sought the rare interview for many months, but the coup apparently belongs solely to NBC News.

Brokaw will fly to Moscow late tomorrow night and will tape the interview at a still-to-be-determined site in Moscow "around noon" on Sunday ...

Gostelradio has informed NBC that the program will also be aired in the Soviet Union ...

Four NBC News officials, including Paul Greenberg, executive producer for the special; Julian Finkelstein, the director; Jerry Lamprecht, vice president, news coverage; and consultant Gordon Manning, have been in Moscow since Saturday, working on final details. They will reportedly visit potential sites today in Moscow ...

In addition, NBC News president Lawrence Grossman and his assistant, vice president Tim Russert, will fly to Moscow Thanksgiving Day ...

Manning, a longtime CBS News and NBC News executive, now a consultant to the network after retiring earlier this year at the age of 70, is credited with obtaining the interview ...

Grossman yesterday said, "Gordon Manning was the difference. It was pure, old-fashioned, indefatigable journalism." Manning has been pursuing an interview with Mr. Gorbachev for NBC News ever since the Soviet leader took office more than two years ago ...

Brokaw yesterday cited Manning's "extraordinary range of contacts over there." He said "a couple of times before, we thought it was very close, at the time of the Geneva summit and again at Reykjavik. There've been many, many occasions when Gordon has come down to the office at 5 a.m. to take phone calls from Moscow when we thought we had one wrapped up. It would be heartening and then discouraging ...

"But the Soviets always said NBC was the first choice because we were first with the request and the most persistent ...

"That's Gordon -- we've put him in the Hall of Fame, right next to Babe Ruth and Casey Stengel and Joe DiMaggio" ...

Brokaw said he was "thrilled" by the opportunity to interview the Soviet leader. He hopes to obtain an impression of what Mr. Gorbachev "expects when he visits our country, what it will feel and look like to him. It will give Americans a chance to get to know him before he gets there {for the summit}" ...

Grossman said yesterday the interview will be "sustaining" (i.e., without a commercial sponsor), avoiding any interruptions by ads. Brokaw says the length of the actual interview could well be longer than the one hour set for the broadcast. Otherwise, no conditions have been set by the Soviets for this first-ever one-on-one interview with the Soviet leader by an American ...

Brokaw faces a backbreaking schedule in the next few days ...

He is due to moderate a debate among Republican and Democratic presidential candidates the night of Dec. 1 at the Kennedy Center, which will air on the network from 9 to 11 p.m. that evening. He said yesterday he will leave Moscow Sunday night hoping to make a connection in London with a flight to the United States that will get him back here Monday ...

Meanwhile

There is considerable speculation that Mr. Gorbachev will hold a lengthy -- perhaps up to 2 1/2-hour -- press conference on Thursday, Dec. 10, at the conclusion of the summit ...

The White House press office yesterday would say only that "nothing has been finalized," but pointed out a Soviet advance team is due to arrive in Washington today. The White House also refused to comment on reports that President Reagan may go on U.S. television that evening to report on the summit ...

Despite yesterday's announcement, both ABC News and the Cable News Network were holding out faint prospects that they, too, might obtain an interview with the Soviet leader between now and the conclusion of the summit, although Grossman said "it's our understanding we have an exclusive" ...

ABC News executive vice president David Burke said "we're still in conversations" with the Soviets but declined to discuss specifics. As for the NBC News coup, he said "they deserve credit, especially Gordon Manning. They put an awful lot of work into this" ...

There are rumors that Ted Koppel is still hoping for an interview with Mr. Gorbachev that could air on ABC News' "Nightline" sometime during the summit...

CNN Washington bureau chief Bill Headline said yesterday "I don't rule {our chances} out completely. We've been doing an arms control series with the Soviets and in our talks with them that kind of became talks about a possible summit interview. On the other hand, with the word about NBC News, perhaps the Soviets made a decision to have just one major interview" ...

CBS News was told last week that it had no chance for a one-on-one interview ...

A Soviet official in Moscow informed the CBS bureau chief there of lingering Soviet displeasure from questioning of the general secretary by anchor Dan Rather at a Paris press conference during Mr. Gorbachev's visit to Paris in 1985 (this despite the "unprecedented cooperation," in CBS' words, displayed by the Soviets this past May when the News division filmed "Seven Days in May" throughout the U.S.S.R. for a primetime special) ...

In Other News

Channel 5 announced yesterday that it has named meteorologist Jeff Lawson as weekend weathercaster. He will also report on environmental issues for the 10 o'clock news ...

Lawson comes from WWBT in Richmond. He replaces Mike Modrick, who left the station for a job in South Dakota. In recent weeks, weeknight weathercaster Sue Palka or news anchors have filled in on weekends ...

Along the Ratings Rialto: Sonny Crockett's marriage on "Miami Vice" attracted a 16.8 national Nielsen rating and a 27 percent audience share, that NBC series' best showing of the season ...

Sunday night, according to Arbitron surveys of its 14 major markets, Part I of "The Gambler III" on CBS averaged a 15.5/24, edging "The Empire Strikes Back" on NBC, which did a 14.8/23 in the big cities. ABC's lineup of "Dolly" and "Buck James" in roughly the same time period averaged a 12.0/17 ...

Heavens to Betsy! Jim and Tammy Bakker's appearances on "Entertainment Tonight" last Thursday and Friday enabled the Channel 7 show to beat Channel 9's unbeatable "Wheel of Fortune" both nights at 7:30 ...

And here's some changes at CBS News' Washington-based "Nightwatch" ... where Phil O'Connor has been named senior producer. He'd been a field producer at the CBS News bureau here. He replaced Peter Goodman, who is now a producer for "CBS This Morning" ...

Also at "Nightwatch," they've added four associate producers, including Kerry Marash, who had worked on the program before; Junette Pinckney, formerly from WRC's "Headlines on Trial"; Susan Sperling, formerly a show producer for National Public Radio; and Amy Green, formerly with WBBM, the CBS-owned station in Chicago ...

Attention Music Lovers: That new "majestic, pastoral" theme music introduced on "CBS Evening News With Dan Rather" last night was composed by John Trivers, a West Coast musician, who recorded the theme with a 90-piece orchestra, yet ...

Trivers also did the music for CBS News' "American vision, world view" on-air promos that viewers are currently tapping their toes to ...

The "Aaron Copland-ish" theme music introduced yesterday had to be personally approved by CBS Inc. chairman William Paley, who has been carefully (and masterfully) guarding the "image" of the network ever since he created CBS from the United Independent Broadcasting Co. in the late 1920s ...

And Finally

An intruder wearing a "Max Headroom" mask broke into two Chicago broadcasts Sunday night using sophisticated equipment that a spokesman for WTTW called "an illegal override of the station's video and audio signals" from outside the studios ...

Viewers of WTTW, the public TV station in Chicago, lost the signal to "Dr. Who" for 1 minute 28 seconds, while the masked one bared his derriere, swatted his bare end with a flyswatter and spoke in a "virtually unintelligible, garbled voice" ...

The video pirate also interrupted the sports segment of the 9 o'clock news Sunday on WGN with a similar performance ...

WTTW reported receiving hundreds of calls from perplexed "Dr. Who" viewers. According to spokesman Anders Yocom, station technicians monitoring the transmission "attempted to take corrective measures, but couldn't" ...

Maureen Peratino, a spokeswoman for the Federal Communications Commission, said interrupting a telecast is a violation of the Communications Act and that FCC agents have begun an investigation ...