Parking on the streets in downtown Exeter is free but there is a 2 hour limit and you may get ticketed if you stay longer than 2 hours.
There is a large municipal lot on Water Street, the entrance is directly across the street from the IOKA Theater marquee. The parking is free and there is no time limit.
There is a second smaller lot on Center Street (near the intersection with Front Street – across from the Exeter Post Office). This lot is usually empty on weekends and is only a short walk to Exeter Town Hall.
There is additional public parking on Water Street near the Phillips Exeter Academy boathouse.
If you are coming later in the day, there are a couple of banks in the downtown area that allow parking when their businesses are closed (after noon time on Saturday and all day on Sunday).
If you are staying at any of the local hotels or inns in Exeter they are all within walking distance of the Exeter Town Hall.
One of the reasons we love our town is the fact that it is so walk-able.