The center of the 23rd named storm of this year's Atlantic hurricane season crossed the Texas coast near the southern end of Matagorda Peninsula, southwest of Houston near Port O'Connor, around 10 p.m. (11 p.m. ET), the National Hurricane Center said.
This month marks only the second time in history that the sheer number of storms has forced forecasters to turn to the Greek alphabet for names, having exhausted their alphabetical list of names selected before the season began.
The first year that storms exceeded given names was 2005, when there were a record 27 named storms.
Beta is the third named storm in the U.S. Gulf of Mexico in less than a month, following Hurricanes Laura and Sally.
Forecasters were also tracking Hurricane Teddy in the Atlantic Ocean as it moved east of Bermuda on a northerly path toward Nova Scotia.