Bramlett then signed a contract with the Denver Broncos and was named runner-up AFL Rookie of the year behind Joe Namath in 1965.

Bramlett only lasted two seasons with the Broncos, making one appearance in the Pro Bowl before being traded to the Miami Dolphins for a fourth-round pick in the 1968 NFL/AFL draft.

He played two seasons with Miami, making another Pro Bowl appearance, before being traded to the Patriots along with quarterback Kim Hammond in exchange for Nick Buoniconti in 1969[1].

With the Patriots, Bramlett was named the Most Valuable Player for the team in 1970, but also got in more trouble and was nicknamed "the Meanest Man in Football".

Larry Csonka and Jim Kiick, who were rookies on the Dolphins in 1968, tell several amusing stories about Bramlett in their book Always on the Run.