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.

Y gred yw bod mwy nac un person wedi eu hanafu, ond nid oedd unrhyw gerbydau eraill yn rhan o'r digwyddiad.
Dywedodd llefarydd ar ran Y Weinyddiaeth Amddiffyn: "Rydyn ni'n ymwybodol o ddigwyddiad ym maes saethu Castell Martin.
"Mae'r ymchwiliad yn parhau ac felly byddai'n amhriodol gwneud unrhyw sylw pellach."
Dywedodd Gwasanaeth Ambiwlans Cymru eu bod wedi eu galw i'r digwyddiad am tua 15:30 ddydd Mercher.
Cafodd Gwasanaeth Tân ac Achub Canolbarth a Gorllewin Cymru eu galw yno hefyd.
Mae gwybodaeth ar wefan y ganolfan yn dweud bod disgwyl i fwledi byw gael eu tanio yno drwy gydol yr wythnos.
Mae'r safle dros 5,900 acer ar hyd arfordir Sir Benfro.

Some 121 patients called at the hospital on 4 and 5 January - up 46 on the previous year.
The spike coincided with a flu outbreak which forced the closure of ward 12.
General Manager for Diagnostics, Nicole Hamlet, said the hospital had continued to provide "high quality care" at the "most challenging part" of the year.
She said dealing with illness over winter months brought "additional challenges" such as ward closures.
"We have robust planning measures in place to respond to this peak in activity," she said.
"Contingency measures have been in place over recent weeks to cope with the anticipated extra demand on the service, particularly over the festive break.
"We had planned to keep our non-urgent elective operations to a minimum at this busy time."
She said that despite admission pressures they had been able to "maintain patient flow throughout the service".
Ms Hamlet said that was due in "great part" to the "dedication and commitment" of staff across the NHS and their partners.
"Their dedication, support and ability to work under pressure have proved invaluable," she said.

Olding made his debut in December 2011 but has only made 39 appearances because of two lengthy spells out with serious knee injuries.
He returned to action against Treviso in January, scoring a bonus point try.
Ulster boss Les Kiss described Olding as one of the most talented players he had worked with.
"This is a huge boost to us. Stuart has worked incredibly hard to come back from injury and is starting to recapture some of his best form," added the club's Director of Rugby.
"The determination he has shown in returning from his most recent injury speaks volumes about him and he is exactly the type of person we need in the squad."
Kiss was interim Ireland coach when Olding made his international debut during the North American tour in 2013.
Olding earned a second cap the following year, against Georgia, and marked the occasion with his first international try.
A man is in a critical condition after being hit by a bus in the Easterhouse area of Glasgow.
[NEXT_CONCEPT]
Mae'r Weinyddiaeth Amddiffyn yn parhau i ymchwilio yn dilyn digwyddiad yn ymwneud â thanc ar faes tanio Castell Martin yn Sir Benfro ddydd Mercher.
[NEXT_CONCEPT]
NHS chiefs have praised staff who helped to cope with a 60% surge in emergency admissions to Dumfries Infirmary at the start of the new year.
[NEXT_CONCEPT]
Ulster centre Stuart Olding has signed a contract extension which will keep him at the Kingspan Stadium until the end of the 2018/19 season.