More than 30 people were questioned at the weekend as part of a crackdown on people illegally paying for sex.
Gardaí in Kildare, Dublin, Wexford and Louth questioned 36 people over Friday, Saturday and Sunday.
It has been illegal to pay for sex in Ireland since February 2017.
Supporters of the legislation, which is known as the Swedish model, claim that it helps to reduce trafficking by disrupting the demand for prostitution. Opponents have argued that it makes sex work more dangerous by driving it underground.
Anti-trafficking groups have complained of a lack of public awareness and enforcement of the law since it was introduced.
Gardaí said they had begun a three day operation on Friday to target the demand for prostitution and to enforce new laws.
The Criminal Law (Sexual Offences) Act 2017 criminalises the purchase of sexual services and the soliciting or purchasing of sex from a trafficked person.
A Garda spokesman said: "On the 26th, 27th and 28th of April 2019, An Garda Síochána conducted intelligence led operations across six (6) of its divisions, nationally, urban and rural (DMR North, DMR East, DMR South Central, Wexford, Louth and Kildare to target the demand for prostitution and to enforce legislation which criminalises the purchase ofsexual services.
"These Days of Action were coordinated by the ‘Operation Quest’ team at the Garda National Protective Services Bureau, in liaison with local Detective Units.
During the course of this intelligence led operation, thirty-six (36) individuals where stopped and spoken to by members of An Garda Síochána, arising from suspicion of having purchased sexual services from an individual involved in prostitution.
"A number of files will now be prepared for forwarding to the Director of Public Prosecutions, with a view to establishing if any criminal prosecution should be initiated, arising from the Days of Action.
"This operation reinforces An Garda Síochána’s commitment to target the demand for prostitution and to protect vulnerable persons, including victims of human trafficking involved in prostitution. "
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