Akaev, who fled to Russia after a popular uprising on 24 March, offered to step down on 4 April. But his resignation cannot enter into force until parliament approves it.
According to the changes voted today, Akaev's family will no longer be immune from criminal prosecution.
The deposed Kyrgyz president, however, will retain his previous immunity.
The new draft also forbids Akaev from running as a candidate in legislative polls.
(RFE/RL/AKIPRESS KZ/TASS RU/RTR)