The incident occurred at the busy Padma Junction at Kochi at 6.30 pm on Saturday.
The 46-year-old man, who was injured seriously in the fall, was taken to the general hospital here after the woman, Ranjini, noticed his plight and pleaded for help from passers-by to save his life.
Vijayan said in Thiruvanathapuram that the woman's intervention to rush the man to hospital should be emulated by all.
The government was in the process of implementing a policy that ensures 48-hour free medical treatment to accident victims, he said.
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All Keralites should come forward to save those who meet with accidents, he added.
CCTV footage telecast by various television channels today showed the man falling from the third floor where he had been reportedly staying for quite some time.
He is seen lying on the road without any assistance from passers-by and the woman is seen requesting them to take him to hospital.
The man, a native of Thriprayar in Thrissur district, was rushed to the general hospital at Ernakulam. He was later shifted to the government medical college hospital at Kottayam, for better medical care, hospital sources said.
Malayalam film actor Jayasuriya thanked the woman for persuading people to take the injured man to hospital.
In a video posted on his facebook, the actor also condemned the attitude of some persons who gathered at the spot without offering any assistance.