The White House threw its support behind several gun-control measures Tuesday, including requiring background checks at gun shows and for other private sales—ideas likely to face stiff opposition from most congressional Republicans and the powerful gun lobby.

President Barack Obama also wants to renew the expired ban on assault weapons and consider limits on high-capacity ammunition magazines, said his spokesman, Jay Carney.

Combined with signs of interest among some Republicans in taking up gun regulations, the developments provided more evidence that the shootings at the Sandy Hook Elementary School in Connecticut last week have, at least for a time, created momentum for a review of gun laws.