There is trade talk in the National Football League focusing on the Redskins, Miami Dolphins and New York Giants.

Billy Kilmer, Ken Houston and Joe Lavender of the Redskins, Don Strock of the Dolphins and Gordon King of the Giants figure in the speculation.

General managers Bobby Beathard of the Redskins and George Young of the Giants are former members of Don Shula's Miami staff.

Ted Marchibroda of the Baltimore Colts would like to have Kilmer, whom he coached as offensive corrdinator for the Redskins under George Allen.The Colts, however, view Kilmer's salary, about $250,000, as too high to have him on the same team with Bert Jones.

Shula is said to be high on the potential of quarterback Guy Benjamin behind Bob Griese and would consider dealing Strock to the Redskins or Giants if he could get a No. 1 draft choice out of a trade.

But the Redskins are trying to make a deal to acquire a No. 1 choice themselves. Defensive backs Houston and Lavender are in demand.

The Dolphins need defensive backs and an offensive tackle. The Giants would like to have a quarterback with more experience than two-season veterans Jerry Golsteyn and Randy Dean. Strock is a five-season player.

The Giants' No. 1 draft pick last season was offensive tackle King of Stanford and he was regarded as a slight disappointment at the end of the season, but now it is being said that he is a "finesse" type who needs more time to adapt to the pro game.

Personnel experts think Shula would be receptive to a trade sending Strock to the Redskins for defensive backs or to the Giants in a deal for King.

Meanwhile, the Giants announced the appointments of three assistant coasches to incoming Coach Ray Perkins' staff. *tRalph Hawkins, 43, defensive backfield coach of the Redskins for six years before joining the Colts last season, was named defensive coordinator.

A Washington native and resident of Rockville, he played at St. John's High and at the University of Maryland. He coached at O'Connell High before serving as an assistant coach of the Terrapins in 1959 and agin in 1967.

Pat Hodgson, a wide receiver with the Redskins in 1966, was named receivers coach by the Giants, a position he held with the San Diego Chargers when Perkins was offensive coordinator last season.

Ernie Adams, administrative aide to Chuck Fairbanks at New England, will be an offensive assistant to Perkins.