He said his officers arrested a crew of people with guns robbing members of the community Monday night. Police located the suspects after a pursuit and took them into custody.
"This is the state of Texas. We are a welcoming city, but we are not going to tolerate people victimizing others," Acevedo said.
He said he will push for the fullest prosecution possible for any crimes committed during such a sensitive time.
Acevedo said officers also caught three looters at a Game Stop Monday night.
And according to a tweet from The Venture, looters shot at a flooded Apple Store in Houston overnight.
"Don't come to Houston because you're going to be caught," Acevedo said. "That's despicable behavior."