President Truman vetoed the bill because he felt that it was unfair to work people who belonged to, or wanted to belong to, labor unions.
Explanation:
The Taft-Hartley Act became law despite President Harry Truman's (1945–1953) veto. jointly called the Labor-Management Relations Act, it was passed by the Congress in 1947 and it also established tips to correct unions' unfair labor practices.