Majority Leader Harry Reid rebuffed a Republican request that he call Senate hearings and an investigation into recent allegations against the scandal-tainted community organizing group ACORN.

Reid, D-Nev., said Tuesday that he would not ask the Senate committee chairmen or Congress “to do anything that would distract from efforts to address” health care, climate change, an overhaul of the nation’s financial regulatory system and oversight of the wars in Iraq and Afghanistan.

Reid made the comments in letters to 28 Republican senators, who had asked for the investigation into the Association of Community Organizations for Reform Now...