The 34-year-old was struck on Lochend Road, near the junction with Auchingill Road just after midnight.
He was taken to Glasgow Royal Infirmary with serious injuries.
Sgt Andy Shearer of Police Scotland said inquiries were at an early stage and appealed for anyone with information to get in touch.
A man is in a critical condition after being hit by a bus in the Easterhouse area of Glasgow.