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Texas Weather > League City Weather. League City, TX climate is hot during summer when temperatures tend to be in the 80's and cool during winter when temperatures tend to be in the 50's. The warmest month of the year is August with an average maximum temperature of 91.60 degrees Fahrenheit, while the coldest month of the year is January with an average minimum temperature of 43.10 degrees Fahrenheit.
The most monthly precipitation in League City occurs in January with 0 inches. The League City weather information is based on the average of the previous 3-7 years of data.he highest average temperature in League City is August at 84.1 degrees. The coldest average temperature in League City is January at 56.3 degrees.