A heavily-populated part of the capital city is considered to be at greater risk of the storm code-named Nock-Ten.
Civil defence officials have been put on red alert, as the storm is due to hit the city later today.
There is also warning that the capital could be hit by heavy to intense rains, flash floods and severe winds.
Three people have already been reported killed in Albay province, south-east of Manila, where the storm cut power lines and uprooted trees.