Martin and Blount combined for 51 rushing yards on seven carries apiece.
The game marked the debut of Tampa Bay Coach Greg Schiano, who took over from the fired Raheem Morris after the Buccaneers dropped 10 straight games to end the 2011 season.
Josh Freeman played one series in the pre-season opener while back-up Dan Orlovsky went 8-for-8 through the air for 91 yards.
New Dolphins Coach Joe Philbin, meanwhile, fell in his own debut.
Reggie Bush ran for a team-high 17 yards on four carries.
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