Hours Of Operations Stop & Shop Market New York West Babylon Stop & Shop Market Hours of Operation and Locations in West Babylon, NY 4.8 - 136 votes 1 Locations in West Babylon www.stopandshop.com Stop & Shop Market Hours Category: Grocery & Market Stop & Shop Market - West Babylon, NY 11704 555 W Montauk Hwy(631) 348-2567 View Store Details Explore West BabylonView More Apparel MarshallsKmartBig LotsCarharttCarter's Sports Vitamin WorldG Sports Jewelry MarshallsAvon Recommend For You Stop & Shop Supermarket Stop 1 Deli Grocery Stop 1 Grocery Store Stop by Mart Stop N Go Convenience Store Stop N Shop Stop One Deli Grocery Stop One Food Market Stop One Food Mart Street Corner