"Strong" sailed on 11 September 1968 to participate in NATO exercise Operation "Silver Tower" in the Norwegian Sea. After a visit to Gravesend, England, she returned to Charleston on 15 October 1968 and remained there until 9 January 1969 when she resumed routine peacetime training. On 12 November 1969, the destroyer was again deployed to the 6th Fleet for a six-month tour and returned to her home port on 23 May 1970. Much of the remainder of the year was spent in port and she was again deployed to the 6th Fleet from 16 April to 16 October 1971. On 16 November, she was transferred to the Naval Reserve Force and became a unit of DesRon 34. "Strong" operated as a Naval Reserve training ship until September 1973 when she entered a standdown period at Charleston.