There were 13 incidents of suspected breaches of travel regulations in the first nine days of Level 5 Covid-19 restrictions, with files sent to the Director of Public Prosecutions, according to An Garda Síochána.
One file has been sent to the DPP in relation to the non-wearing of face coverings.
An Garda Síochána has operated 132 checkpoints a day on major roads since Level 5 restrictions were introduced on 22 October, as well as around a thousand on secondary and minor roads.
Gardaí say they have also been conducting checks of retail premises to ensure they are complying with public health regulations.
As of 31 October there had been 11 incidents where premises had continued with suspected breaches
Gardaí say files will be sent to the DPP.
The vast majority of retail outlets were compliant or complied when asked to do so.
Deputy Commissioner John Twomey said gardaí would continue to focus their attention on retailers who were potentially in breach of the regulations.
Gardaí also say there have been five incidents relating to a failure to provide contact tracing details on landing forms.
Mr Twomey added: "I would like to remind the public that gardaí around the country are here to help at this difficult time, particularly those who are vulnerable or feel isolated.
"If you know of someone who, for instance, needs their shopping done, their pension collected or checked on please contact your local garda station. We are here to help."