Amegy Bank of Texas - Sugar Land Share: Banks Amegy Bank of Texas - Sugar Land Visit Website 17602 SW Fwy. Sugar Land, TX 77479 (713) 232-2959 (844) 229-3364 (fax) About Map About Business & private banking, real estate, retail, & home mortgages What's Nearby? Distance: 5 10 15 20 25 50 mi.