Dog wardens will also be able to issue €300 fines to pet owners who fail to keep their animals under control.
This includes fining owners of dogs that attack sheep.
The same fine can be issued to dog owners who do not have a license for their pets. It is part of a package of measures aimed at tackling out-of-control dogs.
Heather Humphreys, the Minister for Rural and Community Development, has signed regulations doubling all existing fines under the Control of Dogs Act.
Ms. Humphreys is also establishing a stakeholder group to consider whether more dogs should be added to the list of restricted breeds.
The current list includes American pit bull terriers, Rottweilers, Staffordshire bull terriers and Doberman pinschers.
The Minister is expected to ask whether XL American Bulldogs, which are to be banned in England, should be added to the list of restricted breeds in Ireland.
A new €2 million fund will also be set up for dog pounds.
The decision to increase on-the-spot fines for serious dog control offenses follows a series of attacks.
The most tragic was that of three-month-old Mia O’Connell, who was killed by the family’s terrier-dachshund cross in their home.
Fines can also be imposed if a dog owner fails to keep their animal under control, or if a dog is not muzzled where required.
Dog wardens will also be able to issue multiple fines at once. For example, a restricted dog without a muzzle, collar or license could receive three separate fines totaling €900.
The €2 million fund will be used to upgrade dog pounds and pound vehicles.
Pound staff have been under pressure as they try to cope with increasing numbers of stray dogs.
Ms Humphreys will shortly appoint the chair of a new high-level stakeholder group that will look at wider issues around dog ownership.
While Ireland already has a list of restricted breeds, the group is expected to be asked to consider extending it.
