Kyrgyz media say 49 of the 59 parliamentarians in attendance voted in favor of the draft, which envisages the creation of a national antiterrorism center under the direct supervision of the SNB.
Aziza Abdyrasulova, the chairwoman of the nongovernmental rights group Kylym Shamy (Torch Of The Century), called the law "very dangerous and disturbing."
Abdyrasulova told RFE/RL's Kyrgyz Service that she is concerned the new law, if it is approved by President Kurmanbek Bakiev, will give the SNB extra powers.
She also said she was afraid the government might be tempted to use the new legislation to fight political dissent.
Security officials argue that the new law is urgently needed to help them stem the spread of armed Islamic militants, especially in the country's south.