Father Driscoll was born in St. Paul, Minnesota, on December 29, 1902. For his early education he attended St. Patrick's parochial school, and then entered St. Thomas Military Academy and matriculated at St. Thomas College. In preparing for admission to the Order, he went to Providence College for one year. He received the habit at St. Joseph's Priory, Somerset, Ohio, and there made profession on August 25, 1923. After two years study at St. Rose Priory, Springfield, Kentucky, he completed his philosophical studies in the newly instituted House of Studies in River Forest, Illinois. He made his theological studies at the Dominican House of Studies, Washington, D.C., where he was ordained in the Crypt of the Shrine of the Immaculate Conception on June 17, 1929. He matriculated also at the Catholic University of America, receiving the M.A. in 1930, and was then sent to the Collegio Angelico in Rome where he was awarded the Ph.D. in 1932.

Father Driscoll was first assigned to the House of Studies, River Forest, and there became Master of Students in 1934. During the scholastic year 19361937 he was a professor at St. Joseph's, Somerset, Ohio, but in the Fall of 1937, he returned to the Studium in River Forest where he taught until 1940, during which time he was also Chaplain and professor in Rosary College nearby.

Following the erection of the Province of St. Albert the Great, he was elected Prior of the House of Studies in River Forest and served from early 1940 to early 1946. He then taught in the Studium for some years until appointed the first Prior of the house of theological studies (St. Rose Priory) in Dubuque, in May 1951. Four years later he resigned as Prior to become Socius to the Master General for the North American Provinces of the Order.

During the years that followed, Father Driscoll represented his brethren of the United States in the Curia Generalitia with zeal, competence and gracious interest. He was appointed Visitator to the three American Provinces in 1957 and to the Province of Malta in 1959. He was also Promotor General of the Third Order for many years. When Father Aniceto Fernandez became Master General, Father Driscoll continued to serve the Order as Socius for the American Provinces. He was also appointed one of the periti in the Second Vatican Council.

Despite his declining health and most painful surgery, he was unfailing in his love of and dedication to the brethren and to his office. He died suddenly in Rome of heart failure on May 1, 1967, and his body was brought to America for burial in the community cemetery at St. Peter Martyr Priory, Winona, Minnesota.