Signature Point Apartments for rent in League City, TX on ForRent.com: (877) 356-1147 - Availability, pricing and special promotions subject to change daily. Signature Point Apartments in League City, TX are right next to Clear Lake and 30 minutes from Galveston Bay. Apartments have washersdryers, private patiosbalconies, garden style tubs, vaulted ceilings, crown moldings and walk-in closets. Gated, pet friendly community with resort-style swimming pool, sauna, updated 24-hour fitness center, picnicbarbecue area, business center, fishing lake and available covered parking. Located 10 miles from Ellington Air Force Base, 5 miles from the Lyndon B. Johnson Space Center and 15 miles from Baybrook Mall.