Owens caught a touchdown pass against Miami and ran to the goal post, which he used as a shield while he pretended to run a movie camera pointed toward the Dolphins' bench.
It was an obvious reaction to the controversy surrounding the New England Patriots involvement in filming opposing defensive coaches -- a rules violation that brought a heavy fine against New England from the NFL last week.
Owens said his future celebrations would have to be toned down because "nothing is worth getting a fine for."
Dallas Coach Wade Phillips said he had encouraged Owens not to perform future end-zone acts because the resulting penalties "hurt the team."
Phillips said he initially did not see what Owens had done.
"I was too busy celebrating the touchdown," Phillips said.