"Twilight Pursuit" was a tongue-in-cheek reference to the fact that squadron aircraft carried the air-air AIM-9 Sidewinder missile.

Attack Squadron 105 (VA-105) was established on 1 November 1967 at NAS Cecil Field, flying the new A-7A Corsair II.

The squadron embarked on their first deployment to Southeast Asia aboard USS Kitty Hawk, participating in combat operations in the Gulf of Tonkin from January to October 1969.

Following the shootdown of a Navy EC-121 by the North Koreans in April, Kitty Hawk was part of a continuing American presence being maintained off the coast of Korea.

In June 1982 following the Israeli invasion of Lebanon, VA-105 operated from USS John F. Kennedy to support an evacuation of Americans.

During the 1980s, the squadron completed eight overseas deployments, including six to the Mediterranean, and a 1983 around-the-world cruise aboard USS Carl Vinson during her maiden voyage.

They returned from the Mediterranean in April 1993, and began workups for a deployment aboard USS Dwight D. Eisenhower in October 1994.

On 28 November 2000, VFA-105 embarked on the maiden deployment of USS Harry S. Truman to the Mediterranean and Persian Gulf in support of Operation Southern Watch (OSW).

In January 2014 two squadron F/A-18Es were deployed on board the French aircraft carrier Charles de Gaulle for the first time.