After a lot of pressure and bouncing back and forth, including a nod by Magdalena Eriksson, Pernille Harder was able to push in 1-0 for Chelsea at home at Cherry Red Records Stadium after half an hour.
United equalized after an hour and a couple of minutes after that Fran Kirby decided when she ran through and distinctly put 2-1 behind the English national team goalkeeper Mary Earps.
Musovic outside the squad
In Chelsea's goal was the German national team goalkeeper Ann-Katrin Berger and on the bench sat another of the English national team goalkeepers, Carly Telford.
The Swedish national team goalkeeper Zecira Musovic, who joined the club two weeks ago, was not in the squad.
Left-back Jonna Andersson played the entire match for Chelsea.
Cup title in Spain to Hedvig Lindahl
In Spain, goalkeeper Hedvig Lindahl took a title when her Atletico Madrid won the Spanish Super Cup final against Levante 3-0 on Saturday night.