The home team made it 1-0 after eight minutes.
Brynäs took care of a puck drop from Djurgårdsförsvaret and Hanna Rylander finished.
2-0 came quickly after that through a nice backhand shot by star Lara Stalder.
Djurgården reduced early in the second through Sarah Bujold, but then Brynäs responded immediately again.
Before the end of the period, they led 4-1 after goals from Josefin Bouveng and Maja Nylén-Persson.
5-1 in the 47th minute was a nice individual performance when Katerina Mrazova came in front of goal.
Brynäs tops the series before Luleå.
Djurgården is table five.