But in the final, Zverev was the sharpest tennis player.
- I played one of my best matches today, says Zverev after the match.
World number three Zverev defeated superstar Novak Djokovic in the semifinals.
He now followed it up by beating Medvedev in two straight sets, 6-4, 6-4 in the final.
24-year-old Zverev broke Medvedev's serve once in both sets, paving the way for the win.
- I am incredibly happy about this, it feels great to win here before I go on holiday, says Zverev.
It was Zverev's sixth ATP victory for this year and his second win of the ATP playoffs.
The 24-year-old won Olympic gold in Tokyo this summer.
Alexander Zverev was one of the players who jumped from the Stockholm Open after securing a place in the ATP final.