The National Consultative Committee on Racism and Inter culturalism (NCCRI), an advisory body to the Government, has called on transport companies to bring in a code of practice on racism following the conviction of bus driver Gerry O'Grady.
A spokesman for the driver's employer, Dublin Bus, said it would not comment on the case until it was completely over.
Mr Philip Watts, of the NCCRI, said: "We welcome the judgment, as we have received a number of complaints about a small minority of bus drivers who are engaging in this activity."
He said staff in transport companies should receive anti-racism training.
The Department of Justice said that, although there had been a conviction under the incitement to hatred legislation, it would still review the law, as it had been criticised as being ineffective.
Mr Nasser Diaby, chairman of the African Refugee Network, welcomed the first conviction under the Act and said all minorities would be pleased. "A lot of abuse has happened and nothing has been done. People will know now that to call people names because of the colour of their skin is bad."
He had heard of situations involving abuse where people were verbally and physically attacked and their cars and property damaged. "This is a case not only good for refugees or blacks, it's good for all minorities living in Ireland."
Mr Diaby said the conviction could, however, cause problems. "We have to be careful because some people might get frustrated. They might think: `They are convicting us because of those blacks coming into our country'."
Mr Martin Collins, of Pavee Point, a Travellers' rights group, said it was a historic case, as it was the first conviction in the 11 years since the Prohibition on Incitement to Hatred Act had been introduced. "It's not as if groups haven't tried. We have tried to take a case. The Act needs to be seriously looked at, as it is flawed."
Mr Gabriel Okenla, of the Pan-African Association, said the role of gardai in investigating racist abuse also needed to be looked at. "The police have to come forward and make people aware they will process cases without any favour."
Mr John Tambwe, secretary of the African Refugee Network, said the case was important as it illustrated the type of abuse minorities received. "It is significant, as a lot of people will not have believed what has been going on."