The lawmakers are mulling revising the Criminal Law to crack down more heavily on terrorism.
China plans to designate December 4 as national Constitution Day amid efforts to advance the rule of law.
The lawmakers are considering removing the death penalty as punishment for nine crimes, including smuggling weapons and nuclear materials.
The top legislature started its bimonthly meeting on Monday, with lawmakers considering draft laws and amendments regarding death penalty, counterespionage and anti-terrorism.
Lawmakers called for a complete ban on tobacco advertisements when discussing an Advertisement Law bill on Saturday.
A draft decision on establishing universal suffrage in Hong Kong will be submitted before the country's top legislature before the end of its bi-monthly session on Sunday.
The lawmakers Tuesday acknowledged a bill to revise the country's Budget Law and suggested putting it to vote.
The regulation identifies "extremely serious accidents" as those that kill more than 30 people, seriously injure 100, or result in over 100 million yuan in direct economic losses.