ATHENS, Oct 7 - US Secretary of State Marco Rubio said on Wednesday that "strong and model NATO ally" Greece and the United States are launching new counterterrorism information sharing between their law enforcement agencies.

During an official visit to Greece, Rubio said Greece was particularly exposed to the threats posed by mass migration and human trafficking.

"As part of our efforts to combat these common threats to our nations, we're proud to announce a new memorandum of understanding establishing a joint security program to strengthen the counterterrorism information sharing between our respective law enforcement agencies," he told reporters alongside Greek Foreign Minister George Gerapetritis.

Greece has been an important NATO ally to the United States, offering key military facilities to safeguard security in the Eastern Mediterranean, and it leads an EU maritime mission to protect commercial shipping in the Red Sea.

Gerapetritis said on Wednesday that Greece was willing to cooperate with the United States and offer maritime aid in the Strait of Hormuz if there is a viable peace process there.

(Reporting by Ivana Sekularac, Angeliki Koutantou, Lefteris Papadimas and Jonathan Landay; Editing by Edward McAllister and Hugh Lawson)