Miami led 30-0 against the one-win Texans early in the third quarter, however, it came as a cost as tackle Terron Armstead was ruled out with a pectoral injury.
Armstead was signed to a five-year, $75million deal in March.
He has never completed a full season-long slate of games in his NFL career, and last season played only eight in his final year with the New Orleans Saints.
The speed with which he was ruled out by the Dolphins will raise concerns he could be set for a spell on the sidelines as the Dolphins attempt to clinch a place in the postseason and potentially win the AFC East.
A victory over the Texans would improve the Dolphins to 8-3 heading into a tough Week 13 meeting with the San Francisco 49ers.