A Flash Flood Watch is in effect for Galveston and Chambers counties until 8 a.m.
Rain started back up again around 4 a.m.
Tuesday night, the storms knocked out the power to Pleasure Pier but power has since been restored.
It is believed a lightning strike on a transformer caused the pier to go dark.
Galveston police say there are a few high-water spots on low-lying streets but nothing serious at this time.
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