The White House announced yesterday that Rosemary Collyer, 38, had been given a recess appointment as general counsel to the National Labor Relations Board, ending a brief period in which the board could not respond to complaints of unfair labor practices because the job wasn't filled.

The lapse in the board's powers began when Congress adjourned last Friday afternoon, marking the end of the temporary appointment of Wilford W. Johansen as acting general counsel. As a result, the board's regional offices could not respond to charges of illegal picket lines, strike violence, improper firings and the like.

President Reagan originally nominated Collyer in April for the $69,600-a-year job when the four-year term of William A. Lubbers ended, but Senate Democrats blocked her confirmation after labor leaders charged that she was inexperienced and against unions.

The recess appointment will run until the end of the next session of Congress, in December 1985. The White House said that if Reagan wins reelection he will renominate Collyer.

This is the second time the Reagan White House has allowed the board's enforcement powers to lapse. In April, the general counsel post was vacant for four days, the first interruption in 17 years. Labor officials contend that the lapses demonstrate the administration's low priority on labor matters. Board spokesman David Parker said yesterday no problems had been attributed to the recent interruption.