That year, Gaspar was a member of the Miracle Mets team that unexpectedly won the World Series in five games over the Baltimore Orioles.

In Game Four of that Series, Gaspar scored the winning run on a controversial play at Shea Stadium.

With the score tied at 1–1 in the bottom of the tenth, Gaspar pinch-ran for Jerry Grote, who had led off the inning with a double.

An intentional walk to Al Weis followed, after which J. C. Martin, pinch-hitting for Tom Seaver, bunted to the pitcher.

Both runners advanced, and as Martin ran to first, Pete Richert's throw hit him on the hand and ricocheted away, the error allowing Gaspar to score the winning run.