The District of Columbia government's $63 million supplemental appropriation request, earlier threatened with possible delays because of questions over the city's financial status, was approved by the House of Representatives yesterday as part of the overall 1982 federal supplemental appropriations bill.

Rep. Julian Dixon (D-Calif.), chairman of the House D.C. Appropriations subcommittee, said two weeks ago he would hold up the District's portion of the bill until city officials explained newly disclosed fiscal problems. Yesterday he raised no objections to passage of the city's funds, and his office said he had received a satisfactory explanation of the city's financial status from the mayor's office last week.

Dixon's threat came after reports from the D.C. Department of Finance and Revenue disclosed that city revenues were coming in at a level $12.9 million below its forecast, raising the the possibility of a deficit of at least $5 million to $6 million when the fiscal year ends Sept. 30.

Last week city administrator Elijah B. Rogers released revised figures showing that the city would end the year with a $3.1 million surplus. The city government sent the same information to Dixon, Rogers said yesterday.