The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. This is the source for all the floor debates in Congress.

Congress.gov - pdf of Congressional Record beginning with 104th Congress (1995)
GovInfo - pdf of Congressional Record from 1994 to present
Lexis - full text of Congressional Record from 1985 to present
Westlaw - full text of Congressional Record from 1985 to present
HeinOnline - full text of Congressional Record beginning with Vol. 1 (43rd Congress - 1873)
Bloomberg Law - pdf of Congressional Record beginning with Vol. 77 (73rd Congress - 1933)
Proquest Congressional - beginning with 99th Congress (1985-86)
Proquest Legislative Insight - full text of Congressional Record debates associated with enacted legislation from 1929 forward.