Harry Maguire and Dele Alli scored with headers and goalkeeper Jordan Pickford came up with three spectacular saves in recording the clean sheet in Samara.
England will face either Croatia or hosts Russia, who meet in the day's other quarter-final, on Wednesday in Moscow.
Their last semi-final appearance came back in 1990, when they lost to eventual champions West Germany 4-3 on penaltie
England will face either Croatia or hosts Russia, who meet in the day's other quarter-final, on Wednesday in Moscow.
Their last semi-final appearance came back in 1990, when they lost to eventual champions West Germany 4-3 on penaltie