You have a choice of many pools. One of the cheapest (but also most crowded) is the Jerusalem public pool, 43 Emek Refaim St. (tel. 02/563-2092). On Saturday and holidays, Israelis pack the pools. Admission is NIS 55 ($12). It is open from 8am to 5pm in summer only.
A more convenient, although more expensive, option is to pay the visitors' rate to use a pool at one of the city's hotels. In central Jerusalem, the Dan Pearl Hotel (tel. 02/622-6666) and the Inbal Hotel (tel. 02/675-6666) have indoor, or covered pools open year-round. The David Citadel Hotel (tel. 02/621-1111) has a heated outdoor pool open year-round, with direct water access from its CYBEX fitness center, but in winter this can be a very chilly option. Admission policies vary according to time of year and rate of occupancy, but range from NIS 72 to NIS 90 ($16-$20) range.
In good weather, the outdoor pools at the Mount Zion Hotel (tel. 02/568-9555) and the King David Hotel (tel. 02/620-8888) offer lovely gardens, kiddie pools, and spectacular views of the Old City's walls. The Mount Zion's rates range from NIS 60 to NIS 70 ($15-$17) and the King David's are slightly higher; the higher rates in the price range apply to weekends. Outsider admission to the pool at the King David depends on how full the hotel is, so call ahead.