The league can not announce specifics of what led to the dismissal, only that it happened.
Under terms of the program, Evans will be eligible to apply for reinstatement on two years.
The CBA lists "marijuana and its by-products" under "prohibited substances", but not not as a "drug of abuse".
"We take these matters seriously and will reach out to Tyreke to offer our support", the Pacers said in a statement.
Evans played from 2013-17 with the New Orleans Pelicans.
Evans played 69 games for IN during the recently-completed season, averaging 10 points-per-game. A pending free agent, Evans spent this season with the Indiana Pacers, his fourth team since being selected as the No. 4 pick by the Sacramento Kings in the 2009 National Basketball Association draft.
After a reinvigorating career season in Memphis in 2017-18, in which Evans averaged 19.4 points, 5.1 rebounds and 5.2 assists on 48 percent shooting, that guard had a down season in Indiana.
According to ESPN, other players who have been banned under the policy are O.J. Mayo, Chris Andersen, Roy Tarpley, Richard Dumas, Micheal Ray Richardson, Lewis Lloyd, Duane Washington and Stanley Roberts, many of whom were reinstated.