Barrow Council patrols around Barrow Park are due to start from Monday.
Those who fail to comply with the orders can be given a fixed penalty fine of £75 if caught, which can be issued by park rangers, PCSOs or any other representatives of the local authority.
Tamar Woodend posted: “Get yourselves over to Biggar Bank, you’ll have a field day.
“Dogs off leads and owners not picking up dog mess.
“They're just letting the dogs roam all over and pretending not to see them fouling. It’s a disgrace over there now.”
Margaret Clarke said: “About time. Absolutely disgusting over here on Walney, along Solway Drive they pick it up in their little bag bags and when no-one is watching they stick them in people’s garden fence/hedges or just drop them in the gutters. It’s not the dogs' fault, it’s the owners'.