Maria was 1,100 kilometres (684 miles) east-southeast of the capital Taipei with gusts of up to 200 kilometres an hour as of 2:30 pm local time (0630 GMT).
Waves were starting to pound the island's north and east coasts with the weather bureau predicting the typhoon's impact would be strongest tomorrow night and Wednesday morning.
No evacuations have taken place so far but Yeh warned that heavy rains posed the risk of floodwaters and mudslides.
The defence ministry announced more than 30,000 soldiers would be on standby to help with disaster prevention.
The typhoon would not make a direct hit if it continued on its current trajectory, which would see it skim Taiwan's northern tip, according to the weather bureau.
The bureau urged the public to avoid water activities and warned fishing boats to take precautions in a today afternoon sea warning.
Dozens of ferry services to offshore islands were suspended today.
Local television footage also showed farmers rushing to harvest fruit and vegetables ahead of the typhoon.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)