Becker may be best known for being a key reserve on the 1945 Chicago Cubs, the last Cubs team to win a National League pennant until 2016. He got into 67 games and hit .286 with two home runs, 27 runs batted in, and 25 runs scored. He played solid defense, making no errors in 28 appearances at first base. In the 1945 World Series he made three appearances as a pinch hitter, going 1-for-2 with a walk. His hit was a single against winning pitcher Dizzy Trout in Game 4.

He was traded by the Cubs to the Cleveland Indians for first baseman Mickey Rocco and cash on June 26, 1946 and hit .299 in 59 games that season. He was released by Cleveland on May 14, 1947. He signed with the Boston Braves two days later, but never again appeared in a major league game.

Career totals include 152 games played, 92 hits, 2 HR, 47 RBI, 45 runs scored, and a lifetime batting average of .263. His on-base percentage was .359, and he had a slugging percentage of .346. He had a lifetime fielding percentage of .994 in 90 appearances at first base and participated in 64 double plays.

Becker died at the age of 76 in Dallas, Texas.

Becker had problems with his feet during his playing career, earning him the nickname "Bunions". He was referenced in Chicago columnist Mike Royko's annual Cubs quiz on April 18, 1968:

Q: Which of these two players always had sore feet? Heinz Becker or the immortal Dominic Dallessandro?

A: Becker had sore feet. Dallessandro had tiny feet. It used to take him twenty jumps to get out of the dugout.^[2]

• Career statistics and player information from MLB, or Baseball Reference
• Retrosheet
• Heinz Becker at Find a Grave