Simeone praised the England captain's enduring scoring instinct ahead of the clash at the Metropolitano stadium.
"Firstly, I'd like to congratulate him on his well-deserved Ballon d'Or. It's incredible – I've always admired him," Simeone said.
"As he's matured over the years, he's found his best form without losing his eye for goal; he knows what the team needs."
The Argentine said Kane's influence extended beyond his performances.
"His talent is a real asset to the game and to the young players who look up to him, because he leaves a legacy showing that you can achieve great things through hard work."
Atletico have won eight of their last nine matches in all competitions, including a 2-1 LaLiga derby victory over Real Madrid.
They sit 16th in the Champions League standings with four points from three matches, one point behind 14th-placed Bayern, who arrive after successive draws in the competition.
"Finding that balance and consistency is the hardest part, and it's what all of us coaches want," Simeone said.
"We need to enjoy the run and approach it with enthusiasm as we move forward."