Leyton Orient moved top of the League Two table as they grabbed their second win in two matches at Bury.
Tudor scored the first goal for Orient
Bury's Dwayne Mattis shot just wide but Orient took the lead as Shane Tudor slotted home after Lee Steele's shot was parried by goalkeeper Neil Edwards.
Gabriel Zakuani doubled the lead in the 72nd minute, jumping well to head home a Matt Lockwood's corner.
Bury debutant Allan Smart gave the home side some hope as he hit home with 13 minutes remaining, but Orient clung on.
Bury: Edwards, Scott, Fitzgerald, Challinor, Kennedy (Sedgemore 45), Mattis, Flitcroft (Barry-Murphy 63), Whaley, Hardiker, Smart, Barlow (Youngs 80).
Subs Not Used: Dootson, Woodthorpe.
Goals: Smart 78.
Leyton Orient: Garner, Barnard, Mackie, Zakuani, Lockwood, Tudor (Easton 79), Simpson, McMahon, Keith, Alexander, Steele (Echanomi 72).
Subs Not Used: Dolan, Morris, Miller.
Booked: Mackie, Tudor.
Goals: Tudor 21, Zakuani 73.
Ref: C Oliver (Northumberland).