The tropical cyclone hit China's eastern coast early on Monday, with winds of up to 151km/h (93mph).
The storm flattened houses, flooded villages and farms, and affected more than 4.5m people, officials said.
It has caused economic losses of more than 21bn yuan ($3.4bn; £2.1bn), officials in Fujian and Zhejiang provinces said.
Two people died in Wenzhou, in Zhejiang province, state-run news agency Xinhua reported.
Three people in Ruian, also in Zhejiang, died from electric shocks, the agency added.
Parts of eastern China are badly flooded after Typhoon Fitow brought on heavy rain.
Winds of up to 151km/h (93mph) uprooted trees and damaged houses.
Residents used inflatable boats to move along flooded streets.
More than a thousand homes have been destroyed by the storm, reports say.Rescue operations were underway, with footage on state television showing stranded residents being picked up by speed boats.
State media described shrimp farms and seaweed farms being damaged by the storm and powerful winds.

"We have basically lost everything this year," a seaweed farmer told reporters.
Typhoon Fitow - named after a flower - made landfall at 01:15 local time on Monday (17:15 GMT Sunday) in the city of Fuding, Chinese meteorologists said.
It triggered the evacuate of hundreds of thousands in Zhejiang and Fujian, and caused transport chaos as train, coach and flight services were cancelled.
It came just weeks after Typhoon Usagi killed at least 25 people in southern Guangdong province.
































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