Jacobs, who claimed a shock win at Tokyo 2020, clocked 6.41 seconds to beat defending champion Coleman by 0.003 seconds.
Jacobs set a new European record with his winning time, which was eventually confirmed after the athletes endured a nervous wait for the official results to appear.
"I am so tired now but I am so, so happy,"
"It's very fantastic after two Olympic golds [also the 4x100m relay], now gold at the indoor championship is amazing. Now I can't wait to go to the outdoors and run."