Apartments For Rent In League City Area . As of may 2022, the average apartment rent in league city, tx is $852 for a studio, $1,218 for one bedroom, $1,450 for two bedrooms, and $1,906 for three bedrooms. Use our detailed filters to find the perfect place, then get in touch with the landlord. Century Galleria Lofts Apartments Houston, TX from www.apartments.com Sitting on the clear creek and magnolia bayou, about equal distance from houston and galveston, league city has been listed as one of america’s “100. Compare rentals, see map views and save your favorite houses. Find a place you love that meets your needs with our detailed filters, online applications, and more!