Gardaí have begun rolling out a high-visibility campaign to support the introduction of full Level 5 measures.
From today, there will be "intensive mobile high visibility checkpoints" in local areas.
Under Level 5, people are asked to stay at home except for essential journeys or to exercise within 5 kilometers from their home.
Gardaí will also be patrolling in "key public areas" like parks and other recreational areas.
Deputy Commissioner, Policing and Security, John Twomey said: "An Garda Síochána's focus remains on helping to prevent the spread of Covid-19 by seeking public compliance with public health regulations.
"Throughout 2020 we have seen high levels of compliance by the public. This must continue in 2021 until this public health crisis is over.
"Under Level 5, we are asking people to not make journeys unless they are essential. To minimise their contacts. To maintain social distancing. To wash their hands. By taking these steps, we can help protect our loves ones, our neighbours, and our communities."
At a glance: What does Level 5 mean?
In a statement, An Garda Síochána said it understands that a move to Level 5 may "once again increase the anxiety and fear felt by those who may be victims of domestic abuse".
They are reminding people that travel restrictions do not apply in the case of domestic violence or to escape risk of harm.
Victims of abuse are urged to contact gardaí and if they are unable to make a phone call, they can approach any member on patrol or at a checkpoint for assistance.