Lieutenant Commander Vartika Joshi, who is leading the voyage which will begin in Goa, told AFP the project was "revolutionary" in bringing women to the helm and would inspire others in the country.
In recent years, the Indian navy has sought to open its doors to women to take on more challenging roles, with the latest project winning the backing of Prime Minister Narendra Modi who urged the crew to "project India's capabilities and strengths across the world".
The navy commissioned a 17-metre (56-foot) yacht "Tarini" in February for the mission, with the crew kicking off preparations for the voyage in 2014.
"It's not been an easy journey in terms of preparation but as they say 'the more you sweat in peace, the less you bleed in war'," she added.
"It is going to boost the spirits of everybody across the country. Not just women but it can also be an inspiration for the male counterparts. Our aim is to rekindle the spirit of adventure," Lieutenant Commander Joshi said.
Their journey will feature stops in Australia, New Zealand, the Falkland islands and South Africa. They are expected to return to Goa in March next year.