[5] The couple has a daughter,[6] On May 10, 2005, Hevesi won a special election to fill a seat left vacant by the resignation of former Assemblyman Michael Cohen,[1][3][7] serving for the remainder of his term.

[9] At the time, more than a tenth of Hevesi's contributions had come from investment firms that managed state pension fund assets or their executives, including Los Angeles–based Republican fundraiser Elliott Broidy.

From June 2011 to February 2015 Assemblyman Hevesi served as Chairman of the Committee on Oversight, Analysis, and Investigation, a position previously held by both New York City Comptroller Scott Stringer and New York State Senate President Pro Tempore Jeff Klein.

As Chair, Assemblyman Hevesi held hearings on numerous topics including healthcare, human trafficking, and technology infrastructure in New York State.

[10] Hevesi has secured a total of $6 million for freight locomotive engine upgrades in the 2013–2014 and 2014–2015 New York State Budgets.