Lineker said the deal was a "fantastic opportunity for the three of us to do what we love - talk football every day - but on a truly global stage".
"Expect all the usual analysis, honesty and plenty of laughs... just with a few more cameras pointed at us, all from the Big Apple."
Production company Goalhanger said the show would feature "game analysis, special guests, interviews and insights into the world's largest sporting event", which will take place in the US, Canada and Mexico.
It will be filmed in a studio in New York, but with reporters dialling in from the England camp and fan zones.