Tennessee announced on Friday that Ramsey joined the Titans after two seasons with the Denver Broncos.
Ramsey has completed 511 of 913 passes for 5,930 yards with 35 touchdowns and 30 interceptions during his career.
He has appeared in 37 games with 24 starts. Before Denver, he played for the Redskins and Jets. Ramsey worked under Titans offensive coordinator Mike Heimerdinger with the Broncos in 2007.
He was originally drafted by Washington in the first round (32nd overall) of the 2002 NFL draft.