Members of the House Aviation Subcommittee are reported to be close to agreement on a compromise measure to reduce regulation of the nations' airline industry.

Although a measure passed the Senate two weeks ago by a lopsided 83-9 vote, the legislation has been languishing in the House subcommittee for nearly six weeks after it accepted a substitute sponsored by Rep. Elliott Levitas (D-Ga.) that eliminated the key provision of the bill.

Hill sources said yesterday subcommittee members are inclined to accept a measure that would retain much of the bill the subcommittee had marked up, with two major changes:

The compromise would permit each airline to enter automatically only one new route, in 1979, instead of providing a phased entry program allowing carriers gradual expansion into new routes with a limited amount of Civil Aeronautics Board participation.

Instead of placing the burden on opponents to show why an award of a new route should not be granted - something contained in the Senate bill - the House measure would require that the applicant retain the burden of proof and be required to show why it should be granted a route.

A spokesman said the Administration about thereports of the compromise but hoped the bill that would come out of the House-Senate conference would contain a stronger automatic entry provision and would shift the burden back to opponents to show why a new airline or an existing one shouldn't get new route.