The House has passed an $11.5 billion authorization bill for the National Aeronautics and Space Administration that faces almost certain cutback in the Senate.

The bill, passed Thursday on a 360-26 vote, includes $967 million to start building a manned space station, but nothing for a free-flying, unmanned factory in space favored by the Reagan administration.Some senators have expressed an inclination to vote for no more than $10.2 billion for NASA during the fiscal year that begins Oct. 1, an amount that could kill the space station project.

The House authorization bill puts a cap of $24.2 billion on the total cost of the space station, which is planned to be in orbit around Earth and occupied by astronauts at the end of 1996.

The measure authorizes NASA spending for three years - $14.4 billion in 1990 and $15.7 billion in 1991. The amount for 1989 would be a 29 percent jump.