Port Aransas is a city in Nueces County, Texas, on Mustang Island, across Aransas Bay from the City of Aransas Pass. The population was 3,370 at the 2000 census. There is a free 24-hour ferry service between Aransas Pass and Port Aransas. Port Aransas apartments for rent comparison page shows most up to date rent information on Port Aransas apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.