The home secretary said that street talking families would violate the six-ban rule.
Preity Patel told the BBC that two of the four families were “absolutely mingled” for a chat on the way to the park.
She said she would report to her neighbors if she broke the rules.
The rules prohibit indoor and outdoor gatherings in England and Scotland and indoor groups in Wales.
The new measures meant that the police could break up groups of more than six, with a fine of up to £ 3,200 if people flouted the rules.
Speaking to BBC Radio 4’s Today program, Ms Patel said that two of the four families were “absolutely mingling” for a chat on the way to the park.
“You’ve got it in reference to coronovirus and wearing a mask, to keep distance,” she said.
“The rule of six is about making sure people are being dutiful and not endangering other people’s health.”
The Home Secretary said: “Mingling people are coming together. This is my definition of mingling.”
Asked if she would call the police on her neighbors if they violated the new coronovirus rules, Ms. Patel told BBC Breakfast, “I don’t spend my time looking into people’s gardens.”
Moving on to the subject, he said that anyone would like to “take responsibility” for helping prevent the spread of the virus, adding that if he saw more than six gatherings, “clearly I would report “.
Ms. Patel’s comments echo those made by Police Minister Kit Malthus, who suggested that people should ring the non-emergency 101 number if they worried people were violating the law.
It comes as the National President of the Police Federation of England and Wales and is asked for guidance on the enforcement of the measures.
Speaking to Good Morning Britain, John Apter said that police officers on the frontline were trying to “explain” the rules, and were being asked to “(people) take a nap at their neighbors”.
He said: “Maybe we should have guidance, because we don’t have anyone yet.”
Government guidelines include exemptions for physical activities, which can be done in groups of more than six, such as football, hockey and netball, as well as sailing, angling and polo.
Shooting – including hunting and paintball that requires a firearm or firearms certificate license – is also exempted as an organized sport.
Earlier, Ms. Patel defended the government’s record on the trial, which used extensive news of the people.
He pointed out that the BBC Breakfast government had a “growing capacity” where it was needed.
“There is obviously a lot more work that needs to be done with Public Health England and the actual public health bodies in those particular local areas, and as a government we work with Public Health England to address local hotspot areas Demand increased. ”
Health Secretary Matt Hancock has said the system is facing a “massive challenge” after a “sharp increase” in people seeking tests. He said it would be “a matter of weeks” to solve the problems.