It was forced to descend quickly by 10,000ft to 25,000ft to operate. An incident report was filed to the Civil Aviation Authority.
A spokesman for Jet2 said: "Flight LS155 departed Glasgow on Monday morning at 09:00 local time.
"Around 30 minutes prior to landing in Tenerife passengers were informed that there would be a controlled shutdown of one of the engines as a precautionary measure, due to a technical fault indication.
"The aircraft landed safely at 13.38. This has been logged with both the CAA and Spanish Aviation Authorities.”
The airline said it only ever switches to one engine if the flight is within 60 minutes of an airport.