The 30-year-old running back agreed to terms with the Texans today. He will likely become the starter for a team that struggled at the position last season after Domanick Williams -- formerly Davis -- missed the year with knee problems.
Green had 266 carries for one-thousand-59 yards last season after returning from a torn right quadriceps in 2005.
The move reunites Green with former Packers head coach Mike Sherman, who is the Texans' offensive coordinator and assistant head coach.
With Green out, the Packers are left with Vernand Morency, an inexperienced but quick back who was obtained for Samkon Gado in a trade with the Texans last season. Morency gained 434 yards on 96 carries last year.