Martin had one assisted tackle in Sunday's loss to Jacksonville.
Martin and the Texans agreed on a one-year contract Friday, Ian Rapoport of NFL Network reports.
The Broncos released Martin on Wednesday.
Coach Nathaniel Hackett said Wednesday that Martin (knee) will go on injured reserve, ending his 2022 campaign, Aric DiLalla of the Broncos' official site reports.
Martin didn't return to Sunday's loss to Kansas City due to a knee injury, Mike Klis of 9News Denver reports.
Martin (knee) is active Sunday against the Panthers
The Jets traded Martin to Denver on Tuesday along with a 2024 fifth-round pick in exchange for 2024 fourth-round pick, Ian Rapoport of NFL Network reports.
The Jets signed Martin on Thursday, Ethan Greenberg of the Jets' official site reports.
Marin (illness) was placed on the reserve/COVID-19 list Monday.
The Texans activated Martin (illness) from the reserve/COVID-19 list Monday, Aaron Wilson of The Houston Chronicle reports.