Earlier this month, 20 dolphins were rescued from captivity in a joint police and fisheries operation at Rapata Village in the Western Province.
The Ministry's technical secretary Farrah Lafi said 14 suspects would appear in court and could face a penalty of $US65,000 and or imprisonment not exceeding two years.
Mr Lafi said suspects do this illegal activity for the aquarium trade overseas, which was reportedly worth a lot of money.
He said this puts the Solomon Islands tuna industry at risk.