Griffin was selected by NBA New Jersey Nets in the 7th position 1st round pick in 2001. However, the player’s rights would immediately be transferred to Houston Rockets for Jason Collins, Brandon Armstrong and the rights of Richard Jefferson. In his rookie season in Houston, 2001-2002, Griffin averaged 8.8 points, 5.7 rebounds and 1.84 blocks in 73 games he played, including 24 in the holder. It was included in the 2nd NBA Rookies. The next season, maintained the level with similar numbers, 8.6 points, 6 rebounds and 1.44 blocks per night. However, Griffin began to have problems with alcohol and spent the 2003-2004 season in rehabilitation. Following the dismissal by the Rockets, he signed with New Jersey Nets in January 2004. Due to the charges filed by her partner after allegations of assault and recent violations of court orders, Griffin had to spend 11 days in jail.Before I started the 2004-2005 season, Griffin joined the Minnesota Timberwolves in a campaign, meeting with averages of 7.5 points and 6.5 rebounds in 21.3 minutes per game. After the great performance showed, the Timberwolves to renew his contract next season and played in the team, dropping both their numbers and their minutes. On March 30, 2006 he was involved in a new problem. While driving and saw a pornographic movie on a DVD player was masturbating and had a traffic accident. Later, Griffin entered a nearby store. The security camera recorded the establishment of Griffin repeatedly saying he was drunk and had no driving license, the man pleading with the owner of the car hit not to call the police and in return offering a new vehicle. However, the police finally arrived but did not put the player in control of alcohol. An investigation must decide whether the officers acted that way because of the popularity of Griffin.That season, Griffin could only play 13 games he averaged 1.4 points and 1.9 rebounds per game.