Sign up for savings alerts from your favorite travel website. Many of them send out weekly newsletters and alerts with the latest saving on the destinations of your choice. Travel Zoo and HotWire are two travel websites that provides this service.
Research and compare hotel rates for the days you're traveling. NYC Tourist, Hotels.com and Price Line are a few hotels you can use to begin your search. Enter "Midtown Manhattan New York City" as your point of interest or landmark on each website to target your search to New York City Center hotels. Compare these rates to the hotel website. Many times, it may offer specials that can't be found anywhere else online.
Avoid peak tourist season, if you can. Hotel rates go up during this time. Peak season is generally from Labor Day through New Year's. Hotel prices tend to drop drastically after Jan. 2. Also check New York City Center website to see if it's offering any hotel specials with ticket purchases. This information can be found by selecting the "Ticketing" menu and then "Specials" from the drop down list. If you prefer to speak to someone, call the customer service department at 212-581-1212 begin_of_the_skype_highlighting 212-581-1212 end_of_the_skype_highlighting to find out about any partnering hotels offering discount specials for those visiting for theater performances.
Focus your search on budget chain hotels because they tend to be a lot cheaper. Hampton Inn and Double Tree are two budget chain hotels in New York City Center.
Use any membership benefits you have when making your reservation. The military, government employees and AAA and AARP members usually get a discount with participating hotels. Park Central Hotel and the Wellington Hotel are in New York City Center and accept membership discounts.