Bloch was born in Kansas City, Missouri, on July 20, 1922. He and his younger brother, Richard Bloch, who died in 2004, started H&R Block in 1955.
The idea to start his own business came to Henry Bloch in 1946 after he returned from the war. He and his older brother, Leon Bloch, borrowed $5,000 to open a bookkeeping firm in Kansas City, Missouri, the Star reported.
When Leon decided to pursue a law degree, Henry teamed with his brother Richard and started the tax preparation company, putting a $5 ad in the Star to lure customers.
"We admittedly had no idea of the success we would eventually achieve," Bloch wrote in a guest column for the Star in 2017. "While it required a lot of hard work, we also benefited from a lot of good luck."
H&R Block went public in 1962, and Bloch was the company's chief executive officer from 1974 to 1992, the Star reported. He retired as chairman of the board of directors in 2002, a post he had held since 1989. He was president of the company from 1962 to 1988.
Bloch is survived by four children: Robert L. Bloch, Thomas M. Bloch, Mary Jo Brown, and Elizabeth Uhlmann, all of Kansas City; 12 grandchildren and seven great-grandchildren.