The Dolphins only made the score respectable thanks to four big plays -- a 47-yard punt return by Wes Welker that set up an Olindo Mare field goal, a 34-yard completion from Gus Frerotte to Welker that set up another field goal, a gorgeous 65-yard touchdown run by rookie Ronnie Brown and a 77-yard touchdown to Chris Chambers from Sage Rosenfels, who replaced Frerotte with the game out of hand late in the fourth quarter.
By the time Rosenfels connected with Chambers, the score already was 30-13 and the damage had been done.
As had been the case the previous two games, the Dolphins allowed a touchdown on the opening possession of the game, this time a 5-yard run by Priest Holmes that came four plays after a 50-yard completion from Trent Green to Chris Horn, who easily beat nickel corner Reggie Howard on the play.
After the Dolphins cut Kansas City's lead to 7-3, the Chiefs came right back with an 80-yard touchdown drive that ended in Larry Johnson's 2-yard run.
The Dolphins, who failed to capitalize on a first-and-goal from the 10-yard line before settling for Mare's first field goal, had a chance to do some damage before the half with a first-and-goal from the 5, but again they had to settle for a field goal.
The Dolphins got right back in the game on their first offensive play of the second half when Brown bounced off safety Greg Wesley, avoided a tackle by former Dolphins safety Sammy Knight and raced down the sideline for his long touchdown.
But 41 seconds later, Kansas City had its eight-point lead back, thanks to a 40-yard kickoff return by Dante Hall, a 24-yard completion from Green to tight end Jason Dunn and Holmes' 35-yard touchdown run.
The Chiefs extended their lead to 24-13 with a field that culminated a drive that took 7:53 off the clock.
Tynes later added field goals of 51 and 52, setting a career high each time, to make it 30-13 before Rosenfels hit Chambers.
The loss left the Dolphins at 2-4 with a game at LSU's Tiger Stadium against the New Orleans Saints next on the schedule.