With maximum sustained winds of 120 miles per hour, Bud was moving northwest at about 7 miles per hour, the centre said.
Bud's centre is now about 350 miles south-southeast of Cabo San Lucas, Mexico, and is moving northwestward.
As of 2 p.m. ET, Bud had winds of 120 miles per hour and was moving to the northwest at 7 miles per hour. These rains could cause life-threatening flash floods and mud slides.
The swell also will generate strong rip and side currents, creating hazardous conditions for swimmers and surfers.
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Hurricane Bud became the second straight storm to reach Category 4 intensity following Aletta, which attained such strength Friday. An average Eastern Pacific hurricane season sees the first hurricane form by June 26.
The Weather Channel said predicted it would be a tropical storm when it arrives in Baja California Sur.
The storm will begin to weaken over the next couple of days as it approaches Baja California as a much weaker tropical storm.
"People in the zones of the states with forecast of rains, wind and waves, including maritime navigation, are recommended to take extreme precautions and to comply with the recommendations issued by the authorities", Mexico's meteorological service said in a statement.
And Bud will probably not be the last hurricane of the season, with AccuWeather meteorologists anticipating the East Pacific basin remaining active as an above-normal number of tropical cyclones remain in the forecast.