Noel Blake's side will use the game on February 5 as their first preparation ahead of the European Elite Qualifying Round matches in May, when the Young Lions will face Scotland, Georgia and host nation Belgium.
The match will be the first international fixture to be held at the venue since the football club took over management from Doncaster Council in September.
Rovers chief executive Gavin Baldwin said: "We're delighted to have been able to proactively secure an England game for Keepmoat Stadium and are pleased to be welcoming the FA back to Doncaster.
"We remain committed to ensuring Keepmoat Stadium is a multi-purpose facility that can be used by all and hope that football fans from across South Yorkshire and further afield will come out to support our young England team."
England's Under-19 team were last at the Keepmoat Stadium in 2009 when they beat Bosnia and Herzegovina 2-0 in an Elite Round Qualifier, with Doncaster-born Danny Rose scoring the winner as Brian Eastick's squad went on to reach the final of the European Championships in Ukraine later that year.
The Under-21 side and Women's team have both played there more recently, with Stuart Pearce's side losing to Greece in March 2010 and the Women winning 2-0 against Serbia in November last year.