San Marino, Lithuania and Estonia are the other teams Roy Hodgson’s men will come up against in Group E.
The Three Lions had been named as top seeds for the draw which took place in Nice.
Elsewhere, Scotland take on Germany and the Republic of Ireland in Group D.
Wales face Eden Hazard and his Belgium team-mates in Group B, while Northern Ireland go up against Euro 2004 winners Greece in Group F.
The full draw:
Group A: Netherlands, Kazakhstan, Iceland, Latvia, Turkey, Czech Republic
Group B: Bosnia-Herzegovina, Andorra, Cyprus, Wales, Israel, Belgium
Group C: Spain, Luxembourg, Macedonia, Belarus, Slovakia, Ukraine
Group D: Germany, Gibraltar, Georgia, Scotland, Poland, Republic of Ireland
Group E: England, San Marino, Lithuania, Estonia, Slovenia, Switzerland
Group F: Greece, Faroe Islands, Northern Ireland, Finland, Romania, Hungary
Group G: Russia, Liechtenstein, Moldova, Montenegro, Austria, Sweden
Group H: Italy, Malta, Azerbaijan, Bulgaria, Norway, Croatia
Group I: Portugal, Albania, Armenia, Serbia, Denmark
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