In the video, the nine officers are seen speaking to the camera offering kind words of support.
"We are doing everything we can to make sure that everyone feels safe here. Welcome to Sweden," says one of the officers. "We're equals with the same rights and obligations. You are allowed to believe in whatever you want, whichever God you want and marry whoever you want," says another.
The video was posted Thursday and has already been viewed over 400,000 times.
Mikael Ericson, one of the officers in the video, told news agency AFP that the video was a private initiative but that their superiors agreed with the clip's message and approved it before it was published on their individual Facebook pages.
"We have noticed in our work that many of the people who come here are fleeing oppressive regimes and they've been beaten, oppressed and shot at by police, so of course they're afraid of us when they come here. They don't trust us, they're terrified. This film is a way for us to show them that we are here for everyone," Ericson says.