Sen. Dianne Feinstein (D-Calif.) vowed Sunday to introduce legislation to ban assault weapons at the start of the next Congress.

"I'm going to introduce in the Senate and the same bill will be introduced in the House, a bill to ban assault weapons. It will ban the sale, the transfer, the importation and the possession. Not retroactively but prospectively. And it will ban the same for big clips, drums or strips of more than 10 bullets. So there will be a bill. We've been working on it now for a year," Feinstein said on NBC's "Meet The Press" during a discussion about guns following Friday's deadly mass shooting as a Connecticut school.

Feinstein said she was confident such a measure could pass. In a separate interview on Sunday, Sen. Chuck Schumer (D-N.Y.) said he too was was optimistic about the prospect of passing a gun control measure.

"I think we can get something done," said Schumer on CBS's "Face The Nation." Schumer advocated focusing on three areas: Banning assault weapons, limiting the size of clips, and making it harder for "mentally unstable" individuals to obtain firearms.