Clattenburg also refereed the UEFA Champions League final in May.
He becomes the second man to take charge of both major European occasions in the same year after Pedro Proença in 2012.
Clattenburg will be joined by English assistants Simon Beck and Jake Collin, plus additional assistants Anthony Taylor and Andre Marriner.
At this year’s final tournament in France he has refereed Belgium v Italy, Czech Republic v Croatia and the opening round of 16 match between Switzerland and Poland.
He was also a fourth official at Stade de France when Iceland played Austria.