Haitian officials have said little about the matter. President Michel Martelly has called it a "Dominican issue" and Prime Minister Laurent Lamothe posted on Facebook that a lot "is being done to solve the problem."
The lack of a robust response from the Haitian government was cited as one reason for the protest, which started out to oppose the Dominican court ruling, then turned into an anti-government demonstration. Protesters carried a white wooden coffin spray-painted with the slogan "Down with Martelly," then later burned it.
Friday's march is the latest of recent protests in Haiti, many of them critical of Martelly's government. A few have turned violent, with anti-government demonstrators last week burning tires outside the U.S. Embassy as they pressed for the departure of Martelly, accusing the U.S. of interfering in Haiti's domestic politics.
Haiti and the Dominican Republic have long had a volatile relationship as neighbors on the Caribbean island of Hispaniola. But the Dominican Republic put aside such differences and was among the first responders after Haiti's devastating 2010 earthquake.