It marked the sixth time Ortiz has won the award. The lefty slugger won it five consecutive times from 2003-07.
Though a potent force throughout his time with the Red Sox, Ortiz had his best overall season in years in 2011, hitting .309 with 40 doubles, 29 homers, 96 RBIs and a .561 slugging percentage.
Back in November, Ortiz won his fifth American League Silver Slugger Award, passing Martinez and Paul Molitor for the most by a DH. For his big heart off the field, Ortiz won the Roberto Clemente Award in October.
The Red Sox could know by the end of Wednesday if Ortiz is coming back for a 10th season in Boston. The deadline for accepting arbitration is midnight ET.
Now in its 38th season, the Outstanding DH Award was renamed in honor of Martinez during a ceremony at Safeco Field in 2004.