In the period 1986 - 1990, Agrapidis served as Deputy Mayor of Piraeus under Andreas Andrianopoulos. From 1990 until 1998, he served as City Councilman. In October 1998, he was elected Mayor with 58.5% of the vote. He was re-elected in 2002 with 56.1% but was defeated in his third bid by veteran basketball player Panagiotis Fasoulas.
Agrapidis is married with two children.