Police Scotland have fined three men for allegedly leaving their home without a reasonable excuse.
A building site has also been closed as it was carrying out non-essential work.
Both incidents happened in Paisley.
It is thought that this is the first time new powers issued to forces across the UK have been used in Renfrewshire.
Under the new law a fine of £60 could be issued to people breaking social distancing rules, lowered to £30 if paid within two weeks. The fine doubles to £120 for second time offenders, doubling for each further offence to a maximum of £960.
Police Scotland said: “Three males have been issued with fixed penalty notices in Paisley today for leaving their home addresses without a reasonable excuse.
“A building site has also been closed as carrying out non-essential work.
“Please stay home if you don’t need to go out.”