Meredith played quarterback for the Cowboys from 1960 to 1968. In 1965, he became the starting quarterback. In 1966, he led the Cowboys to their first winning season, with a record of ten wins, three losses, and one tie. He threw a career-high 2,805 yards and 24 touchdown passes. He was named NFL Player of the Year and selected to the Pro Bowl. He led the Cowboys to three division titles. He played in the 1966 and 1967 NFL Championship games.