Council's Rangers will be stepping up patrols around Picton Oval to ensure dogs are being kept on leashes.
Several complaints have recently been received about owners letting their dogs run free on the oval.
Council's Manager Planning, Development and Compliance, Francois van der Berg, said Council had to consider Government legislation and the safety of other users when it comes to the city's parks and ovals.
"We understand that people want to give their animals the chance to run around, but there are fully enclosed off-leash areas at Queen Elizabeth Park and Patton Park for this purpose," he said.
"These designated areas have plastic bag dispensers, water taps, and other amenities for owners and their animals to enjoy some time outside.
"We're not against residents bringing their animals to other parks and ovals, but if they do, they must be kept on a leash for the safety of others, and owners must clean up after their animals if they make a mess.”
Under the Companion Animals Act, 1998, an owner can be fined $220 for not having their animal on a leash or chain while in a public place.
Fines of $275 can also be issued to owners who fail to immediately clean up after their dog if it defecates in a public place.