"Welcome to the Houston Rockets Carmelo Anthony," Morey tweeted, along with a highlight video. "Easy to find highlights for him!"
Anthony took a physical before inking the new deal. The forward also received the $25.4 million remaining of his 2018 salary from the Atlanta Hawks.
The 34-year-old averaged a career-low 16.2 points per game last season for the Oklahoma City Thunder. Anthony also posted 5.8 rebounds and a career0low 1.3 assists per bout in his lone season with the franchise.
The 10-time All-Star was traded to the Thunder in September. He was traded again in July to the Atlanta Hawks and was waived five days later.
Anthony also posted a cryptic message on Monday on his Instagram account, along with a video of himself on a safari in Africa.
"I see my path but I don't know where it leads, not knowing where I'm going is what inspires me to travel it," Anthony wrote.