The officials further added that the SU-24 jets flew close to the destroyer in the Baltic Sea on Tuesday with one of the officials saying the passes were one of the most aggressive interactions in recent memory.
The planes carried no visible weaponry, the officials said, adding that the flights were so close they created wake in the water.
According to the officials, the passes were “unsafe, potentially provocative” and “could have caused an accident”.
A Russian KA-27 Helix helicopter also made seven passes around the USS Donald Cook, taking pictures, with the closest pass is said to be about 9 meter.
A statement from the United States European Command said the Donald Cook was conducting deck landing drills with an Allied military helicopter when the jets made their passes.
This comes as a similar incident occurred last June, when Russian warplanes made close passes over a US destroyer in the Black Sea.