The airport says it hopes to be able to open on Monday (September 27) following the light plane crash that took the pilot and two passengers to hospital.
The Air Accident Investigation Branch is currently investigating the incident.
An airport statement, which was posted on its website and on social media, said: “Following an incident involving a light aircraft this morning, we will remain closed for the weekend so that the Investigations Directorate on air accidents can conduct a full investigation We hope the airport will reopen on Monday.
“Following this closure, Loganair will contact affected customers to explain how to request a full refund or change another date. They ask customers not to phone Loganair at this time.
“We apologize for any inconvenience caused and thank all of our passengers who were very understanding today. All of our thoughts and prayers are with the three people on board at the time of the incident and their families.”
A number of flights were diverted to Newcastle Airport on Saturday.
Loganair also issued a statement, saying: “We regret to inform you that there was an incident at Teesside Airport which resulted in a runway closure today. We can confirm that at no time was a Loganair aircraft involved.
“We apologize for any inconvenience this may have caused your travel plans, but we must stress that this is within our control and we will do our best to help you make alternate arrangements.”