Tucker will serve the suspension at the beginning of the upcoming season.
Tucker was sentenced to three days in jail and 11 days of home detention last week after being arrested in Arizona in May with a blood alcohol level of 0.22, nearly three times the state's legal limit.
Tucker, who will be on probation for five years, also agreed to undergo counseling for substance abuse, keep an interlock on his car for 18 months and pay $2,750 in fines.
Tucker, 29, averaged 9.4 points, 6.5 rebounds and 1.7 assists last season. The Suns re-signed him last month to a contract reportedly worth $16.5 million over three years.
- Chris Johnson