"A man trying to cross the Miramar creek has been reported as missing after the current swept him away," the authorities in Loreto, one of the Mexican municipalities Norbert tore through, said.
At 0300 GMT on Sunday the eye of Norbert was located about 195km east-northeast of Loreto, the US-based National Hurricane Center reported.
Some 2,850 people were housed in temporary shelters.
Forty per cent of homes were totally or partially damaged on the islands of Margarita and Magdalena, mainly having lost their roofs, according to a report from state protection services.
In the Baja California capital of La Paz, the storm knocked out power to 13,000 homes, and to 8,000 more in Ciudad Constitution, the Federal Electricity Commission reported.