Obama Talks Fiscal Cliff, Guns On Meet The Press [ VIDEO]

President Barack Obama tells NBC's Meet The Press GOP leaders have rejected his past attempts to strike a bigger and more comprehensive bargain during Fiscal Cliff negotiations while voicing hope for legislation aimed at containing gun violence passed next year.

FULL COVERAGE: Fiscal Cliff

NBC's David Gregory (L) interviews President Obama on Meet the Press (White House)

Obama says his offers to Republicans "have been so fair that a lot of Democrats get mad at me." He cited a proposal he made to House Speaker John Boehner to reduce cost-of-living increases for Social Security beneficiaries.

Obama made his remarks during an interview on NBC's "Meet the Press" show that aired Sunday. Obama granted the interview as the Senate's Democratic and Republican leaders worked to cut a scaled-back bargain to avoid automatic tax increases on nearly all Americans.

He says Republicans have "had trouble saying yes to a number of repeated offers."

Obama wants gun violence measures passed in 2013

Obama is voicing skepticism about proposals to place armed guards at schools in the aftermath of the mass shooting in Newtown, Conn., that killed 20 first graders. He says he wants legislation aimed at containing gun violence passed next year. passed next year.

In his most specific remarks about gun violence since the deadly assault at Sandy Hook Elementary School, Obama says he still supports increased background checks and bans on assault weapons and high capacity bullet magazines.

Obama says the Dec. 14 shooting was the worst day of his presidency. He vowed to put his "full weight" behind a legislative package.

Visit NBCNews.com for breaking news, world news, and news about the economy