The US National Hurricane Center says Hurricane Hilary is a Category 2 storm with maximum sustained winds of 105 mph (165 kph).
Its center is about 360 miles (575 kilometers) south of Cabo Corrientes, Mexico, and it is heading west-northwest at 10 mph (16 kph).
It is expected to continue picking up strength and become a major hurricane.
Former Tropical Storm Irwin grew into a Category 1 hurricane overnight with winds of 75 mph (120 kph). It too is headed away from land.
No coastal warnings or watches were in effect today.