A woman who at the scene today told Buzzfeed that she was leaving the clinic when military police started rushing into the building.
During the panic, she says she heard a woman shouting for a medic from what appeared to be the fourth floor.
A former clinic employee told NewsChannel 9 that the clinic is connected to William Beaumont by a corridor.
The clinic has four floors, while the centre has 11 floors and is one of the largest buildings in El Paso.
The centre and clinic were shut down for about an hour before the gates were opened up and employees were allowed to leave.
Photos taken at the scene when the hospital was first put in lockdown this afternoon show a heavy police presence, including SWAT teams.
The El Paso PD responded to the scene around 4pm to assist Fort Bliss military officials with the situation.
- Daily Mail