Indianapolis lost at home for the first time in 12 months and only the second time in quarterback Andrew Luck's brief NFL career.
Luck did have the Colts positioned to rally yet again after reaching Miami's 23-yard line with 1:45 left in the game.
But this time, Luck threw three straight incompletions and could not evade the Dolphins' pass rush on fourth down, allowing Miami to run out the clock.
Tannehill finished 23-of-34 passing.
Luck was 25-of-43 passing for 321 yards, with one touchdown and one interception.
Copyright 2013 by The Associated Press