Morgan's Point is located 30 miles southeast of Houston in southeastern Harris County, Texas, United States, located on the shores of Galveston Bay at the inlet to the Houston Ship Channel, near La Porte and Baytown. As of the 2010 census, it had a population of 339. As of 2020, it has approximately 356 residents and is located within the La Porte Independent School District.

Harris County is a county located in the U.S. state of Texas; as of the 2020 census, the population was 4,731,145, making it the most populous county in Texas and the third-most populous county in the United States. Its county seat is Houston, the most populous city in Texas and fourth-most populous city in the United States. The county was founded in 1836 and organized in 1837. It is named for John Richardson Harris, who founded the town of Harrisburg on Buffalo Bayou in 1826. According to the July 2022 census estimate, Harris County's population has shifted to 4,780,913 comprising over 16% of Texas's population. Harris County is included in the nine-county Houston–The Woodlands–Sugar Land metropolitan statistical area, which is the fifth-most populous metropolitan area in the United States.