The men, aged between 22 and 40, were remanded for a week to facilitate further investigations and face one rioting charge each, punishable by up to seven years in prison and caning.
The case would be heard again on December 17.
The Criminal Legal Aid Scheme was helping to secure lawyers for all the accused, its representative told the Court.
The Indian High Commission in Singapore was working with Singapore's Foreign Affairs Ministry to facilitate consular access and support for the 24 men being charged for their role in riot in Little India, a precinct of Indian-origin businesses, eateries and pubs where most of the South Asian workers take their Sunday break.
The driver of the bus, who was earlier hospitalised, has been arrested.
The 24 charged were among 28 people arrested in connection with the riot. Four of them - two Bangladeshis, one Indian national and one Singapore permanent resident - have been released after investigations showed they were not involved in the riot, police said earlier today.
Prime Minister Lee Hsien Loong yesterday ordered a probe into the incident and warned to use "full force of the law" against trouble-makers.
"I have directed the Ministry of Home Affairs to convene a Committee of Inquiry (COI) to look into this serious incident. The COI will look into the factors that led to the incident and how the incident was handled on the ground," Lee said in a statement.
He said the riot was a very grave incident and his government would "spare no effort to identify the culprits and deal with them with the full force of the law."