The MV Nautabu ran aground on a reef in Choiseul Province and the MV Victory and MV Tafusibata ran aground in Malaita Province.
The head of Maritime Safety's "operation safe boat" Derek Saru told the newspaper, the Solomon Star, there have been no fatalities reported.
Mr Saru said some of the vessels did not immediately report their running aground to the agency which was in direct violation of safety regulations.
He said an inspection of the MV Nautabu found there was no major damage to the vessel.
