England, Scotland, Wales and Northern Ireland submitted a joint expression of interest to stage the tournament in March and FIFA president Gianni Infantino says it was the only "valid" bid.
Speaking at a UEFA congress in Belgrade, Infantino said: "Today I can confirm as part of the bidding process that we received one bid for 2031 and one valid bid for 2035.
"The 2031 bid is the United States of America and potentially some other Concacaf members and the 2035 bid is from Europe and the home nations.
"So the path is there for the Women's World Cup in 2031 and 2035 to take place in some great nations and further boost the women's football movement."
England manager Sarina Wiegman described the news as "so exciting" and thinks it will provide another boost for women's football in the country after the Lionesses triumphed on home soil at Euro 2022.
She said: "It's really good news, and it would be really great if that tournament will be held here.
"We know with the experience of the Euros, how big the game is already here and what that momentum did here in the country, but also worldwide, I think. So another tournament, on an even bigger stage would be incredible, and that will give another boost to the game."
Asked if having the World Cup take place in the UK is a step up from hosting the Euros, the coach said: "Well, Euros feels really good too, especially the last two, I would say. So hopefully the next one will feel really good too, but it's an even bigger stage. It is the biggest female event we have in the world, so that's so exciting. So yes, again, it will be incredible to have it here."