Police officers were given the power on Friday to find people who refuse to stay at home and only go outside if they have a ‘reasonable excuse’.
Police Scotland is still compiling data from the weekend, but initial indications show officers had to issue penalty notices on just 25 occasions across the country.
Deputy Chief Constable Malcolm Graham said high visibility patrols have been in place across Scotland since officers were given the enforcement powers.
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He said: “It’s clear that the vast majority of people are complying with the measures.
“They know the message is to stay at home, and by and large, they’re doing that.
“Where our officers have encountered people outside, they’ve been able to engage with them or educate them on why it’s so important to follow the guidance from our public health experts in order to save lives and protect the NHS.
“There will always be people who refuse to comply, but the low number of penalty notices shows they are in the minority and in those cases we’ve had to use enforcement as a last resort.
“This is a big change to the way people live their lives and they need to adjust to that.”
He said there have been issues with people driving to outdoor spaces such as parks, saying the force will address this working with partners in local authorities where appropriate.
“We have been given extraordinary powers in an extraordinary situation, powers we would not normally wish to have, but I’d like to thank the public for helping and supporting us,” he continued.
“We police with the consent of the communities we serve, so a positive relationship with those communities is of huge importance to us.”
Under the legislation that was brought in last week as a way of enforcing social distancing, Police Scotland can issue penalty notices of £30, rising to £60 if not paid within 28 days, where they have reason to believe there has been an offence under the regulations.
These penalties are doubled for each repeat offence up to a £960 cap, with no reduction for early payment.
Due to the exceptional nature of these powers, the regulations will be reviewed at least every 21 days to ensure they are still necessary.