Kompany was due to guide his national side into the tournament, but a thigh injury has ruled him out of competing.
The 30-year-old defender will not be far away from the action, though, as he will provide insight and analysis as part of Gary Lineker's punditry panel, which includes Rio Ferdinand, Thierry Henry, Alan Shearer and Gianluca Vialli.
"I am extremely disappointed not to be in France with the Belgium team, but to be there with the BBC will be the next best thing," said Kompany.
"There is a huge amount of anticipation for the tournament and I'm really looking forward to working alongside Gary and the team throughout the competition."
BBC Head of TV Sport Philip Bernie said: "We have enjoyed working with Vincent as a guest on Match of the Day, and have been extremely impressed with the insight he offers.
"As a current player, he is very close to the game and has played against a number of the players and countries involved in Euro 2016. He will be the perfect addition to our impressive studio lineup, which already boasts an outstanding array of pundits, led by the best sports presenter on TV."
Kompany will be present in the studio to give his thoughts on Germany's opening group game against Ukraine on June 12, as well as the clash between Portugal and Austria on June 14.
The defender will also provide analysis for US broadcaster ESPN.