Sujeet, a 25-year-old man from Pratapgarh in Uttar Pradesh tried to enter the Air Force base at around 11 pm on Tuesday.
As he ignored the warnings by security personnel to stop, he was shot in the left leg in order to immobilise him, senior police officer Rakesh Kumar Singh said.
Speaking on the condition of anonymity, an official said there was an Intelligence Bureau alert about a possible attack by some terrorist outfits on the airbase.
Sources said it is being ascertained whether the man has links with terrorist outfits.
The security has been beefed up at the airbase.