People are being reminded that travel to airports and ports should only be taken for essential reasons and holidays abroad are not deemed essential.
Gardaí issued the reminder along with an update on the number of fines issued for non-essential travel since they were first introduced two weeks ago.
In a statement, An Garda Síochána said that approximately 1,500 fines have been issued for non-essential travel since 11 January.
As of yesterday, 909 fines for non-essential travel had been processed and approximately 645 fines are currently being processed, gardaí said.
They reminded people that checkpoints and high-visibility garda patrols are continuing at public amenities across the country in support of public health regulations.
They also reminded the public that they are only allowed to exercise within 5km of their home.
Gardaí remind people that the 5km limit includes the distance travelled from a person's home to a location for exercise. In other words, you cannot travel more than 5km to a location to exercise.
They also said that people should be aware that if a driver is found to be in breach of the non-essential travel regulations, not only the driver, but all adult passengers will face a fine too.
"This is also the case for adults in groups undertaking activities such as cycling or walking – every adult in such a group can be fined", according to the statement.
Deputy Commissioner, Policing and Security, John Twomey said: "The vast majority of people are complying with the non-essential travel regulations. We thank them for that.
"Unfortunately, there are still some people who are putting themselves, their loved ones and everyone they come into contact with at risk of getting Covid-19 by not complying with public health regulations.
"There are people dying and are seriously ill from Covid-19.
"Our health service and all who work in it are under serious pressure. People need to adhere to the public health regulations to help save lives and reduce that pressure.
"Please keep yourself and others safe by staying home. Only make essential journeys", he said.
141,000 passenger locator forms completed in December
The Department of Health has said over 141,000 Covid-19 'passenger locator forms' were completed by those arriving into Ireland in December 2020.
The forms are used for contact tracing and to support a system of public health engagement with arriving passengers, including the targeting of key messages to passengers by SMS text message.
During December 309,442 public health text messages were sent.
Passengers may also be contacted to verify the place of address provided on the form.
During December 2020 more than 52,000 arriving passengers verified their place of address via text.
30,500 follow-up phone calls were attempted resulting in 13,560 successful contacts made.
Additional reporting: Kate Egan