A goal apiece from Andy Gray, Robbie Blake and Ade Akinbiyi saw Burnley ease into the Carling Cup third round.
Oldham rarely got into their stride during an uninspired first-half and Gray's mishit left-foot shot looped over Mark Crossley for the opener.
Strike partner Blake, who earlier hit the post with a thunderous free-kick, then made it two with a fierce strike.
And Akinibiy applied the coup de grace in injury-time with a thunderous shot that flew past Crossley.
Burnley: Jensen, Jordan, Carlisle, Caldwell, McCann, Elliott, Gudjonsson (O'Connor 46), Spicer, Jones (Mahon 46), Gray, Blake (Akinbiyi 78).
Subs Not Used: Unsworth.
Booked: McCann, Jordan.
Goals: Gray 59, Blake 76, Akinbiyi 90.
Oldham: Crossley, Eardley, Thompson, Gregan, Bertrand, Smalley (Liddell 21), Kalala, McDonald, Taylor (Trotman 85), Ricketts (Wolfenden 74), Davies.
Subs Not Used: Pogliacomi, Lomax.
Booked: McDonald, Trotman.
Ref: Keith Hill (Hertfordshire).