Kalou, 34, was pictured breaking several coronavirus hygiene rules, flouting his payslip and complaining with teammates over the pay-cuts issued during the global pandemic.
The former Ivory Coast star was also seen shaking hands with teammates and barging into a medical checkup of a member of the first-team squad.
On Monday, the DFL confirmed 10 confirmed cases of the novel virus within the 36 clubs in the top two tiers of German football of 1724 tests completed.
"With this video taken inside the team's dressing room, Kalou broke clear internal rules and displayed behaviour which is neither appropriate for this current situation nor reflective of the code of conduct of Hertha BSC," the statement read.
"The club has, therefore, made the decision to suspend the player in question from training and matches with immediate effect."
Kalou has since deleted the video off his official account and issued a quick response after his behaviour attracted widespread criticism and outrage on social media.
"I'm sorry if I gave the impression that I'm not taking coronavirus seriously. I want to apologise for this," Kalou said, as per The Guardian.
"The reality is the exact opposite, because I'm really worried about the people of Africa, because health systems aren't as good there as they are in Germany. I didn't really think it through, and was excited that my tests came back negative.
"I would also like to apologise to all those, who appeared in the video, who didn't know that I was broadcasting live and whom I didn't want to bring into this situation."
— DW Sports (@dw_sports) May 4, 2020