Four out of five House members who voted last month to reduce a "windfall profits" tax on the oil industry received campaign money in 1977 and 1978 from industry groups, a study disclosed yesterday.

The study also showed that of 58 House members who received $2,500 or more in oil industry contributions, 55 voted for the Jones-Moore Amendment, diluting the tax that would be assessed against oilmen.

The study was compiled by Public Citizen's "congress Watch, an arm of the Ralph Nader organization, after the House overruled the recommendations of its tax-writing Ways and Means Committee on June 28.

The amendment, sponsored by Reps. James R. Jones (D-Okla.) and W. Henson Moore (R.La.), would end most of the wndfall profits tax by 1990 and permit the industry to keep some $6 billion more in profit between now and 1983 than the committee version.

Mark Green, director of Congress Watch, said yestersay that "big oil money in Congress is surely one reason" that Washington "can't solve the energy problem."

"A campaign gift doesn't guarantee a sympathetic vote. But based on the correlations between giving and voting contributions clearly fertilize the soil in which industry measures flourish."

The Congress Watch review of $1,117,208 in House and Senate campaign contributions made by 26 oil industry-related political action committees also showed:

That 83 percent (196) of the 236 legislators who supported the Jones Moore Amendment received money from the oil groups, while only 39 percent (71) of the oil-pac recipients voted against the amendment.

The average contribution to the 196 supporters was $1,963, while the average contribution to the 71 who opposed it was $690.

Eighteen House members received $5,000 or more in contributions, with 12 of them being freshmen,, which Congress Watch said indicated "the industry's interest in influencing Congress by concentrating on open-seat races and 'swing' districts."