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Rickmers, which manages the ship for Maersk said Iranian navy fired "warning shots" at Marshall Islands-flagged Maersk Tigris.
Most ships should proceed to berth immediately or within a few days, according to the Marine Exchange of Southern California.
The third-party logistics provider also cut its first quarter loss in half.
Port of Dammam terminal operator International Ports Services set a record for the first four months of 2015.
Rates were down again in April 2015 after falling 1.6% in March 2015, according to the latest Cass Intermodal Price Index.
Investment firm Avondale Partners expects truckload pricing to increase 4%-9% in 2015.