Aston Villa's team bus was struck by a brick as the squad travelled back from Turf Moor on Sunday.
The incident occurred at around 5:15pm after Villa's win at Burnley.
In a statement Burnley said the club are "relieved to hear nobody was hurt in the incident".
"We strongly condemn this behaviour and will support Lancashire Police in their efforts to find whoever was responsible," the statement added.
The incident happened around two miles away from Burnley's Turf Moor ground.