“I know that it’s a major disappointment for those players who aren’t going to be involved,” Low said.
“Mats Hummels and Bastian Schweinsteiger will be fit for Euro 2016. The prognosis was clear.”
Low is disappointed that Reus was unable to win his own fitness battle and added: “It’s a shame because he would have strengthened us.”
The world champions have been drawn in Group C and will face Ukraine (June 12), Poland (June 16) and Northern Ireland (June 21).
Germany Euro 2016 squad in full
Goalkeepers: Manuel Neuer (Bayern Munich), Marc-Andre ter Stegen (Barcelona), Bernd Leno (Bayer Leverkusen).
Defenders: Jerome Boateng (Bayern Munich), Mats Hummels (Borussia Dortmund), Benedikt Howedes (Schalke), Jonas Hector (FC Koln), Shkodran Mustafi (Valencia), Antonio Rudiger (Roma), Emre Can (Liverpool).
Midfielders: Bastian Schweinsteiger (Manchester United), Mesut Ozil (Arsenal), Toni Kroos (Real Madrid), Sami Khedira (Juventus), Mario Gotze (Bayern Munich), Andre Schurrle (Wolfsburg), Julian Draxler (Wolfsburg), Leroy Sane (Schalke), Julian Weigl (Borussia Dortmund), Joshua Kimmich (Bayern Munich).
Strikers: Lukas Podolski (Galatasaray), Thomas Muller (Bayern Munich), Mario Gomez (Besiktas).