"I know it sounds harsh, but these kind of people should be brought out in public and lynched," Jaya Bachchan said in parliament.
Several other MPs from across the political spectrum also condemned the brutal gang-rape and murder.
Protests were held across India after the victim's charred remains were found following her disappearance last week.
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Police say they have arrested the four men who gang-raped and murdered the woman.
Rape and violence against women remain at high levels despite widespread public anger at high-profile cases.
On Monday, the anger on the streets was reflected in parliament with many MPs demanding to know what action the government planned to take to make the country safer for women.
Ms Bachchan, a former Bollywood actress who is very vocal on women's rights issues, led the MPs in demanding justice for the victim.
"I think it is time... The people want the government to give a proper and definite answer," she said.
