Stewards ruled, in a lengthy statement, that Haas had presented no significant and relevant new element that was unavailable to them at the time of the October 22 race in Austin, Texas.
The also stated, however, that their inability to properly enforce track limits violations for all competitors at turn six of the Circuit of the Americas was "completely unsatisfactory" and a solution needed to be found before the start of next season.
"Whether the problem is properly addressed by better technology solutions, track modifications, a combination thereof, or a different regulation and enforcement standard, the stewards leave to those better positioned to make such assessments," they added.
The decision was reached after a virtual hearing that started on Wednesday and was deferred to Thursday.
Haas, last in the championship, sought the review during last weekend's Sao Paulo Grand Prix because they believed some rivals exceeded track limits without sanction.
Representatives of the governing FIA, Aston Martin, Williams and reigning champions Red Bull were summoned to the virtual hearing while McLaren and Ferrari also attended as concerned parties.
Haas submitted on-board video footage of four cars leaving the track on several occasions at turn six - Williams drivers Alex Albon and Logan Sargeant, Red Bull's Sergio Perez and Aston Martin's Lance Stroll.
The U.S.-owned team argued that the track limit infringements were "neither noted, nor investigated nor penalized by the stewards as reflected in the final classification."
Representatives of Aston Martin, Red Bull and Williams all argued there were no new elements since the on-board cameras of all cars were available to teams during the race and no secondary evidence, such as CCTV, was presented.
The stewards found the onboard camera footage of Albon's Williams and following cars was significant but not new, previously unavailable or relevant.
The footage of the other three cars failed to meet any of the requirements.
Albon ended up ninth in Austin with Sargeant 10th. Haas had Nico Hulkenberg finish 11th.
