Hurricane Hector was formed far out in the Pacific Ocean on 2 August with maximum sustained winds of 85 miles per hour (140 kph).
Hurricane Hector, which has now been classified as a Category Four storm is expected to pass about 150 miles south of Hawaii's Big Island on Wednesday.
Off the coast of Mexico, meanwhile, Hurricane John lumbered toward the Baja California peninsula as a Category Two storm. Hector is a category 3 hurricane on the Saffir-Simpson Hurricane Wind Scale.
As a precaution, Hawaii County officials have closed three beaches - Whittington, Punaluu and Milolii beach parks - on Tuesday.
An uptick in squalls, locally heavy rain, brief gusty winds, heavy seas and surf may occur on the islands through the latter part of the week, AccuWeather reported.
Hurricane Hector is moving on the southern tip of Hawaii, are gradually weakening.
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Late Friday, Hurricane Hector, swirling in the Pacific some 1,700 miles (2,760 km) east of the Big Island, grew into a "major hurricane", and its maximum sustained winds reached 120 mph (195 km per hour), the US National Hurricane Center said. "However, very rough surf is expected to impact mostly south- and east-facing coastal areas of the Big Island".
"The strongest winds are expected downslope from mountains, across elevated terrain, over headlands and through gaps".
If the storm deviates northwards it could bring Hector close enough to impact the Big Island directly.
"Tropical storm conditions are expected across portions of the Big Island on Wednesday as the core of Hector passes to south".
CPHC said "Swells generated by Hector will likely produce large and unsafe surf along southeast and east facing shores of the Big Island today".