No it didn't, it started under JFK.
"In February 1954, President Eisenhower refused to commit American troops to the Franco-Vietnamese War. In a press conference he stated, "I cannot conceive of a greater tragedy for America than to get heavily involved now in an all-out war in any of those regions."
By April, however, his administration revisited the question of direct intervention in the war. Though he sent no U.S. troops to the region, he authorized military aid to the French. After France surrendered to the Viet Minh, Eisenhower's administration aided anti-communist leader Ngo Dinh Diem in consolidating power in Saigon.
Throughout his second term as president, Eisenhower remained committed to Diem's often-tyrannical regime.
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That is not direct intervention. This is:
Start reading at Aug. 26, 1963 up to Kennedy's assassination.
The History Place - Vietnam War 1961-1964
Your place Cupcake:
1953
January 20, 1953 - Dwight D. Eisenhower, former five-star Army general and Allied commander in Europe during World War II, is inaugurated as the 34th U.S. President.
During his term, Eisenhower will greatly increase U.S. military aid to the French in Vietnam to prevent a Communist victory. U.S. military advisors will continue to accompany American supplies sent to Vietnam.To justify America's financial commitment, Eisenhower will cite a 'Domino Theory' in which a Communist victory in Vietnam would result in surrounding countries falling one after another like a "falling row of dominoes." The Domino Theory will be used by a succession of Presidents and their advisors to justify ever-deepening U.S. involvement in Vietnam.
1955
January 1955 - The first direct shipment of U.S. military aid to Saigon arrives. The U.S. also offers to train the fledgling South Vietnam Army.
October 23, 1955 - Bao Dai is ousted from power, defeated by Prime Minister Diem in a U.S.-backed plebiscite which was rigged. Diem is advised on consolidating power by U.S. Air Force Col. Edward G. Lansdale, who is attached to the Central Intelligence Agency (CIA).
October 26, 1955 - The Republic of South Vietnam is proclaimed with Diem as its first president. In America, President Eisenhower pledges his support for the new government and offers military aid.
July 8, 1959 - Two U.S. military advisors, Maj. Dale Buis and Sgt. Chester Ovnand, are killed by Viet Minh guerrillas at Bien Hoa, South Vietnam. They are the first American deaths in the Second Indochina War which Americans will come to know simply as The Vietnam War.
The History Place - Vietnam War 1945-1960