Blumenthal, whose constituency includes Newtown, Conn., the location of the Dec. 14 Sandy Hook Elementary shootings, said he thinks legislation should be put in place to require background checks for every gun purchase.
"I think the nation's ready for a ban on assault weapons, and high capacity magazines and, most important ... I think there is common ground here in the need for better enforcement of the existing laws," he said during an appearance on Fox News "Sunday."
Blumenthal said background checks should be performed for ammunition purchases, and Teflon-tip and incendiary bullets should be banned.
"It is against the law for a fugitive, a felon, a deranged person, someone seriously mentally ill, someone under a court order for domestic violence abuse, to purchase ammunition and firearms. But there are no background checks on purchase of ammunition. So someone can walk into a Walmart, buy a shopping cart full of ammunition, walk out, pay, no questions asked," he said.
"I think the bullets, along with the firearms, are what we need to focus on."