Harry Maguire and Dele Alli scored as England comfortably defeated Sweden 2-0 in Samara on Saturday to reach the World Cup semi-finals for the first time since 1990.
Leicester defender Maguire headed in the opening goal from a corner on 30 minutes, with Alli adding a second just before the hour.
Goalkeeper Jordan Pickford then produced a series of crucial saves in the final half-hour to seal England´s long-awaited spot in the last four.
It was just a second England victory over Sweden in nine competitive meetings, and sets up a clash with either hosts Russia or Croatia on July 11 in Moscow for a place in the final.
Southgate stuck with the same team that overcame Colombia on penalties in the last 16, while Sebastian Larsson returned for Sweden after missing the 1-0 win over Switzerland through suspension.
Viktor Claesson drilled over for Sweden early on with an ambitious attempt from distance, while Harry Kane, the tournament´s leading scorer with six goals, dragged wide after a penetrating run by Raheem Sterling.
Sweden manager Janne Andersson had warned his side England were a match for them at set-pieces, and so it proved when Maguire connected with Ashley Young´s corner after a low-key first half hour.
Maguire outjumped the much smaller Emil Forsberg to nod low into the corner, as England scored for the eighth time in Russia from a dead-ball situation.
The lively Sterling should have doubled the lead on the stroke of half-time when he brilliantly controlled Jordan Henderson´s lofted pass, but he was unable to find a way past Robin Olsen and his follow-up was blocked by Andreas Granqvist.
Pickford had relatively little to do in a quiet first half, but the England goalkeeper produced a vital stop to claw away a Marcus Berg header minutes after the restart.