Tánaiste Michael McDowell said that under current legislation, people arrested for urinating in public are sent a letter which gives them the option of paying a fixed fine or being prosecuted.
Local Labour TD Joe Costello (Dublin Central) who raised the issue, said that Croke Park's first game under lights drew more than 80,000 supporters and some "rather obnoxious behaviour" by some of the fans after the match when "a large degree of public urination took place in little side streets" beside the stadium.
The problem has been an ongoing issue between the stadium and local residents. Before last year's all-Ireland finals, gardaí had begun prosecutions against 17 offenders, but had highlighted the difficulties involved in compiling evidence for prosecutions.
Mr Costello asked Mr McDowell was he considering raising the "derisory €2 fine applying to public urination. When will you impose on-the-spot fines as requested for some time by the Garda Síochána? As it is not an arrestable offence, does the Minister propose to make it an arrestable offence and impose on-the-spot fines?"
Mr McDowell pointed out, however, that "the recently published Fines Bill will increase the general level of fines across a range of offences".
He added: "Members of the Garda Síochána use the Public Order Act to deal with offensive behaviour, such as that described by the deputy."