In the 1960s, Meshel waged two unsuccessful campaigns for Mahoning County commissioner. He became an administrative assistant to Youngstown Mayor Anthony Flask in 1964, and served as urban renewal director in 1969. Meshel entered electoral politics in 1970, when he ran for a seat in the Ohio State Senate. In 1971, he was elected to the 33rd District of the Ohio Senate, and he was re-elected five times. Meshel became the Senate's majority whip and chairman of the Senate Finance Committee. In 1980, Meshel ran for a seat in the United States House of Representatives but lost to Republican incumbent Lyle Williams. That same year, the Democrats lost the majority in the state Senate and Meshel replaced Oliver Ocasek, who had been president of the Ohio Senate, as the party's leader in the senate. Meshel served as minority leader from 1981 to 1982. During his five terms in the Ohio Senate, Meshel was credited with helping to secure almost $150 million in capital improvements for Youngstown State University. In addition, he secured more than $160 million in grants and loans from the Ohio Department of Development for economic development projects. Meshel also worked to create the Northeastern Universities College of Medicine, the College of Osteopathic Medicine at Ohio University, the Wright State University School of Professional psychology, and other programs.
Boxing
Meshel helped create the Ohio Boxing Commission, which eventually became the . Since 1994, Meshel has also been a supervisor for the International Boxing Council.
Later years
In 1986, YSU named its new technology center Meshel Hall in his honor, as he helped secure funding for the project. In 1994, he received the YSU Distinguished Alumni Award. In 1993, Meshel resigned from the Ohio Senate to become chairman of the Ohio Democratic Party, a position he held until 1995. In May 2007, Ohio Governor Ted Strickland named Meshel to a nine-year term as a trustee of Youngstown State University. He also works as a lobbyist. He was honored for spearheading the creation of the Youngstown Historical Center of Industry and Labor, which celebrated its 15th anniversary in September 2007. Meshel has a street, "Meshel Way" named after him in Struthers, Ohio. Meshel also has a hall named after him at NEOMED. Meshel died on September 4, 2017.
Personal life
Harry married the former Judy Lazich on July 25, 1948. They had two children, Barry and Melanie. He was a member of the Greek Orthodox Church.