He said the plan for such an incident had been worked out by himself and colleagues a year ago.
He added: “The plan worked well. We had two appliances and the rope rescue team from Coulby Newham station along with police and ambulances.”
He said witnesses had reported hearing a rush of air and the crashing of tree branches prior to the man - believed to be from East Cleveland - hitting the ground.
A Cleveland Police spokeswoman said a man was “poorly but stable” in James Cook University Hospital.
Saltburn Viaduct is the same height as the Transporter Bridge in Middlesbrough, which is also 180ft.