England had set 181 to win and India began the day on 119-4, with the hosts knowing Raj stood between them and any hope of victory. But the India skipper hit 50 not out, adding 68 with nightwatchman Shikha Pandey (28 not out) as England's seam-heavy attack failed to break through, The BBC reported.
The two teams will now meet in three ODIs, which form part of the inaugural ICC Women's Championship.
The victory represents a major triumph for India, who have not played a Test since 2006 and struggled in recent global limited-overs tournaments. By contrast, England will reflect on a poor batting performance on the first morning of their first match since the squad was awarded full-time professional contracts by the England and Wales Cricket Board (ECB).
England skipper Charlotte Edwards said that it did not start well with her losing the toss but that is no excuse as they did not bat well, and added that it does not matter how much money one gets paid, they have got to turn up. Edwards said that India were the better team over the four days, adding that her side did not play straight enough and their total of 92 wasn't enough. She said that England bowled well to get India out for 114, but a lead of 180 wasn't going to be good enough.
Jenny Gunn, replaced as vice-captain by Heather Knight earlier this summer, was named as player of the match after taking 5-19 in India's first innings before giving England hope with an unbeaten 62 in their second innings - the biggest score of the match.
Edwards hopefully added that they would come back better in the ODIs.
The first one-day international is at Scarborough on Thursday, the report added.