The victory is Brynäs' sixth straight in the SDHL and Gävlelaget, who have certainly played three matches more than the second Luleå, now extends the league lead in the SDHL.
And the home team connected an iron grip on the match immediately - 3-0 after the first period.
1-0 came after just over five minutes of play by Emma Murén, her fourth goal of the season.
Just two minutes later, Jaycee Gebhard struck.
And the points queen in SDHL did not want to be worse.
Clap-clap game in powerplay, the puck at Lara Stalder - goal number 25 for the Swiss this season.
The second period was goalless - but in the third Brynäs Denisa Krizova finally got the final result 4-0.
Brynäs has now met and defeated three Stockholm teams in a row.
First they won 5-0 over Djurgården last week, then 6-0 against SDE and then tonight's victory against AIK.