The recommendations are expected to include requiring background checks for all gun purchases; limiting the number of bullets allowed in magazines; and a ban on so-called assault weapons.
All measures on the table are opposed by gun-rights advocates and the National Rifle Association.
"We know what works and what doesn't work," NRA president David Keene told CNN Sunday. "And we are not willing to compromise on people's rights when there is no evidence that doing so is going to accomplish the purpose."
The group appears to have a majority of Congress on its side, with 288 members of the House and Senate holding an "A" rating from the NRA for opposing any and all gun control measures.
Asked Sunday whether he thinks an assault weapons ban can pass Congress -- and whether it should pass --Republican Sen. John McCain of Arizona answered both with a simple, unwavering "no."
A ban on the sale of some assault-style weapons was enacted in 1994 but allowed to expire a decade later. Several subsequent attempts to reinstate the measure have failed, in large part because of advocacy by the powerful NRA.
But even some long-time gun-rights advocates say everything should be on the table -- including possible limits on arms sales -- after the massacre at Sandy Hook Elementary.
"We have to change the culture of mass violence we have," said Sen. Joe Manchin, D-W.Va., said on ABC's "This Week." " If you think it's only about guns and that would change the culture, you'd be wrong."
As the federal government weighs action on guns, many state and local governments are pushing ahead with new measures of their own.
Chicago Mayor Rahm Emanuel said today he would ask the city pension funds to divest from any investments in companies that manufacture guns, adding that he would "lead a charge" among all mayors to tackle the issue.
In Maryland, Gov. Martin O'Malley announced proposed legislation that would impose some of the most sweeping new restrictions on gun sales in the United States, requiring prospective gun buyers to provide fingerprints to state police, undergo a background check and complete a mandatory gun-safety course in order to obtain an owners permit.
New York Gov. Andrew Cuomo, Connecticut Gov. Dan Malloy and New Jersey Gov. Chris Christie last week made public calls for new measures to curb gun violence in their states.
ABC News' Mary Bruce contributed to this report.