West Sussex County Council has contracted response teams that are due to arrive later to start clearing any cargo that has come ashore.
Eight containers were carrying bananas, two had avocados, another plantain and five more were empty.
Anything that is found from the containers should be reported to HM Coastguard’s Receiver of Wreck, external.
The Coastguard said anyone who failed to declare items within 28 days was breaking the law and may have action taken against them.
But it said “that will not include perishable goods” and “members of the public should comply with the instructions provided by the council”.
Tesco labels can be seen on the bunches of fruit washing up on the shore.
The supermarket said it was already working with its supplier and had a good availability of bananas available in store and online.
