Stabaek drew 1-1 with Lillestrom on the opening day last week, and had to rely on an 84th-minute equaliser from substitute Mikkel Diskerud to take a point today after Jan Gunnar Solli had put Brann ahead on five minutes.
Molde made it two wins from two games played as they beat Bodo/Glimt 3-1 at home.
Makhtar Thioune (27), Pape Diouf (60) and Mame Diouf (76) put Molde out of sight - before Per Verner Ronning (86) got a late goal for the visitors.
Fredrikstad and Odd Grenland both picked up their first wins of the campaign, 2-0 against Stromsgodset and Sandefjord respectively.
Hans Erik Ramberg (25) and Andreas Tegstrom (90) were the scorers for Fredrikstad, while Odd Grenland's goals arrived in three first-half minutes through Chukwuma Akadueze (18) and Havard Storbaek (20).
Lyn Oslo came from behind to draw 1-1 against IK Start, Diego Guastavino's 46th-minute penalty cancelling out Clarence Goodson's 24th-minute opener.
Lillestrom were also held 1-1 at home to Viking FK.
Olivier Occean put Lillestrom ahead after 54 minutes, but Hakon Skogseid levelled 10 minutes later.