Naval spokesman Commander Kosala Warnakulasuriya has said that 34 of them in five trawlers were arrested off the coast north of Point Pedro in the north, yesterday.
While another 31 were arrested east of Mullaithivu along with four vessels.
"The arrest came last night and the fishermen have been handed over to the authorities in Point Pedro in the north and the eastern port district of Trincomalee" he said.
"They will be charged of violating the international maritime border limits," said the Naval officer.
Whereas, his brother Basil Rajapaksa who is the Minister of Economic Development in Sri Lanka has invited a group of Indian fishermen to visit Sri Lanka to discuss the issue.
The government sources said that a fishermen group from Rameswaram would be due early August.