PITTSBURGH, Oct. 4--The 33-man executive board of the United Steelworkers today was reported to have recommended rejection of an industry proposal to end the 82-day nationwide steel strike.

Word of the reported rejection came from a source close to negotiation.

Unless there is a quick change in the situation, it is expected President Eisenhower will invoke the Taft-Hartley act to get the 500,000 strikers back in the mills for an 80-day cooling off period.

The union's wage-policy committee meets here at 10 a.m. EDT Monday to consider the reported offer which would give the strikers an 8-cent-an-hour hike in pension and welfare benefits in the first year of a two-year contract.

Berlin Hopes Seem Dim

WASHINGTON, Oct. 4--U.S. officials see little or no chance for working out a Berlin agreement with the Soviet Union, in spite of the atmosphere of good will generated by the Eisenhower-Khrushchev talks.

A decision on the timing of a summit conference to follow up those talks is expected in 10 days or two weeks.

Russians Shoot Rocket

MOSCOW, Oct. 4--The Russians Sunday rocketed a 614-pound satellite into space aimed at taking mankind's first pictures of the perpetually hidden face of the moon.

If all goes well, the unmanned laboratory of intricate instruments should reach the area of the moon Monday night, then back toward a vast, cigar-shaped orbit around the earth.