Prime Minister Boris Johnson said he was “deeply saddened by the terrible incident in Glasgow”.
Police Scotland Assistant Chief Constable Steve Johnson asked masses to avoid the area.
one of the suspect has been shot dead by police.
The Scottish Police Federation has confirmed a police officer stabbed. Armed police still at the scene outside the Park Inn in West George Street.
A statement from Police Scotland saying the situation has been “contained” and there was no danger to the general public.
First Minister Nicola Sturgeon said reports of the incident were “truly dreadful” and she was being “updated as the situation becomes clearer”.
She added: “My thoughts are with everyone involved.”
police Scotland Assistant Chief Constable Steve Johnson said: “Armed police officers attended the incident and I can confirm that a male suspect was shot by an armed officer.
“I would like to reassure the public that at this time we are not looking for anyone else in relation to this incident.
“I can also confirm that a police officer was injured while dealing with the incident and that officer is receiving treatment in hospital.”
It is said that the Park Inn Hotel is currently being used to house asylum seekers.
Three people are believed to have been stabbed to death in a hotel stairwell in Glasgow city center.