Women, juveniles, and elders are also included in the amnesty.
It would not apply to anyone convicted of killings, human and drug trafficking, terrorism, or rape.
President Emomali Rahmon has to ratify the text before it becomes law.
The move comes ahead of the tenth anniversary on June 27 of the National Peace Accord that ended the 1992-1997 civil war.
(RFE/RL's Tajik Service, Avesta, ITAR-TASS)