He died of cancer at age 70 at Stella Maris Hospital in Timonium, Md., The Baltimore reported Sunday.
The 31-yard drive through the goal posts all but gave the Colts the AFC East title that season.
Anton Hans Jorg Linhart, born in Austria, had played soccer in Europe for 11 years before signing with the New Orleans Saints in 1974. He went to the Colts the next season where he played for nearly six years accumulating a record of 70 field goals in 116 attempts and 184 of 194 extra points.
He twice played in the Pro Bowl and ended his NFL career with the New York Jets and retired in Baltimore where he ran a distribution company.
While with the Colts, Linhart was known for his dedication to fitness, working out with medicine balls and elastic bands, and building an exhaustive obstacle course in the woods near the team's training facility.
He once recounted that he "learned when I was [trying out for the Austrian Olympic ski team], when it was me and the mountain and 50 other skiers, they might be better than I. But if I was prepared, completely, I could win."
Linhart is survived by his wife, Renate, and son, Berndt.