Lam, speaking at her weekly press briefing, said the government would also study additional relief measures for those affected by the latest restrictions.
The sanctions target Hong Kong Police commissioner Chris Tang and his predecessor Stephen Lo; John Lee Ka-chiu, Hong Kong's secretary of security, and Teresa Cheng.
"Carrie Lam is the chief executive directly responsible for implementing Beijing's policies of suppression of freedom and democratic processes," it said.
The government has mounted a campaign to rally public support for the legislation, with billboards, a booklet with questions and answers and a video of Lam defending the law "in the public interest".
Lam, speaking during a trip to Beijing to discuss the new security law, was flanked by Hong Kong's justice secretary Teresa Cheng, its security secretary John Lee and its police chief Chris Tang.