Despite the penalty shootout loss in the showpiece, the DFB trainer believes the Bavarians delivered a top-class performance in Europe's elite club competition this term
The Bavarians dominated their opponents at the Allianz Arena, but a cruel twist of fate saw them surrender the trophy in a penalty shootout.
"They were the better team against Chelsea for 120 minutes and had the better chances. Football can be brutal sometimes," Low told Bayern Munich's official website.
"Despite this defeat, let me congratulate Bayern on a top-class Champions League campaign. Bayern have given us some fantastic matches, especially against Madrid."
Bayern's defeat against Chelsea means that the Bavarians lost their second Champions League final in three years.