They surpassed the previous record of 263-5, set by Royal Challengers Bangalore in 2013
The two teams locked horns for the trophy in the final at the Changlimithang Stadium in Thimphu Saturday.
India’s goal came in the 66th minute through forward Sunita Manda. It set the tone for the match.
Bangladesh beat India 1-0 in the final at home last year after defeating the visitors 3-0 in the first round.
Bangladesh qualified for the final of the championship after beating Bhutan 5-0 in the semifinals at the same stadium on Thursday. India reached the final by beating Nepal 2-1.
Earlier, Bangladesh became group champions by defeating newcomer Pakistan 14-0 and Nepal 3-0.