It was not clear as of Tuesday night how many House members would attend, or how much the trip would cost.
The House approved the resolution by unanimous consent after a series of roll call votes.
GOP leaders have already announced that the House would not be in session Thursday in order to allow for members to attend the funeral.
Immediately after the vote, members began debate on H.R. 3302, which would name the Veterans Affairs Medical Center in Bay Pines, Florida, after Rep. Young. That bill passed by unanimous consent.
Members also approved a separate resolution tonight honoring former House Speaker Tom Foley (D-Wash.), who died Friday. That resolution, H.Res. 383, was also passed by unanimous consent.