In one video, a man who is believed to be from Bromsgrove, allegedly visited Alexandra Hospital, in Redditch, on January 1 claiming there was "nothing going on" and suggested the hospital was "quiet".
Another video uploaded one day later, allegedly taken a Kidderminster Hospital, shows a group of men entering the hospital before leaving shortly after.
A man said they were filming to "prove a point," claiming "this isn't a pandemic".
One man also allegedly filmed inside Queen Elizabeth Hospital in Birmingham.
West Mercia Police are liaising with West Midlands Police on these incidents.
Chief Inspector Ed Hancox, of West Mercia Police, said: “Following reports that individuals were entering hospitals in Worcestershire to film, a number of men voluntarily attended Kidderminster Police Station to discuss the matter.
"At this time no arrests have been made and no fixed penalties have been issued but an investigation remains ongoing into potential breaches of the Covid-19 regulations.”