That sixth straight loss has left the northern club in serious relegation danger and led to hundreds of fans protesting outside the ground, blocking the players' exit from the HSV Arena and pelting them with missiles when they tried to leave.
Director of sport Oliver Kreuzer had blamed the team's defence, not Van Marwijk, for the club's position at second-bottom in the league, and Hamburg chief executive Carl Jarchow went on to show full support to the Dutch manager.
"The board came together after the game (on Saturday) and analysed the current situation," Jarchow said on the club's official website.
"We have agreed with the board's decision to continue with Bert van Marwijk.
"Here are the three major issues that were at the centre: has the coach achieved with the team yet? Is he determined enough? Does he have a plan?
"We have answered all three questions with a resounding yes.
"For this reason, there is no reason for personnel changes."
Hamburg's next Bundesliga clash is against bottom side Eintracht Braunschweig following a DFB Polkal quarter-final match against Bayern Munich on Wednesday.