The amendment, which would be the 28th, would state simply: "The Congress shall have power to prohibit the physical desecration of the flag of the United States."
Also Wednesday, Rep. Michele Bachmann (R-Minn.) proposed a bill, H.R. 2091, that would require a POW/MIA flag to be displayed along with American flags that are flown on federal property.
Bachmann and other House members spoke to a group of veterans on Wednesday, when they also unveiled a resolution calling for a Select Committee on POW/MIA Affairs.
"This coming Memorial Day, as we pause as a nation to reflect on the sacrifices of our brave troops, we must never forget those who have yet to return home," Bachmann said. "It is our duty and responsibility to the heroic men and women who have given us so much to never stop fighting to bring each and every American home."
Earlier in the year, Rep. Peter King (R-N.Y.) proposed the Fallen Heroes Flag Act. That bill, H.R. 558, would Capitol-flown flags for families of fallen first responders.