Death toll in the Nov 7 incident has now risen to two while another injured is under treatment at the Dhaka Medical College and Hospital.
Hospital outpost Police Inspector Mojammel Haque said Sohel Rana, 24, died on Tuesday noon.
"Eighty percent of his (Sohel) body got burned. Another person named Kartik is in critical condition."
The accident took place last Friday when an air conditioner exploded during repair works on the roof of a multi-storey Six Seasons Hotel.
Anwar Hossain, 26, was killed on the spot.
Anwar and Sohel were workers of Watson Group in Gulshan while Kartik, 25, was a worker of the hotel.