Genco, 67, of East Islip, is seeking his first term in the state assembly and is running on the Democratic Party line.
He ran for state senate in 2012 and lost to Republican Lee Zeldin, who was later elected a congressman.
He served as executive assistant to then-Islip Town Supervisor Phil Nolan for five years and was on the East Islip school board from 1999 to 2009
Genco supports building a six-lane overpass at Oakdale Merge on Sunrise Highway to ease the traffic congestion there.
He wants to create a differential in state funding to school districts that addresses the high cost-of-living on Long Island.
He would support policies or legislations that would help veterans and the elderly.