It was unclear when the ports would be allowed to resume normal operations.
The Black Sea region has been hit by a series of storms in the last ten days. Russian news reports say there was another collision in the Kerch Strait at the end of last week.
The collision involved the Cambodian-flagged Nika and Russian-registered Volgodon-5076. There were no reports of injuries or fuel spills.
Meanwhile, efforts are continuing to limit the damage caused by the fuel oil spill that following the break-up of the tanker Volgoneft-139 in the Kerch Strait in storms early this month.
The environmental damage caused by the spill has been described as 'catastrophic'.