On May 19, 1961, Cardinal James McIntyre established a new parish named St. Peter Alcantara. Msgr. Thomas J. McCarthy became the founding Pastor.
Early in 1962, the newly established parish was renamed after St. John Fisher.
In September 1962, school programs began in temporary facilities. The permanent school was dedicated in January 1963, administered by the Daughters of Mary and Joseph.
In 1970, due to a shortage of personnel, the Daughters of Mary and Joseph withdrew from the School. The Sisters of the Immaculate Heart of Mary accepted administration of the School until 2000. Since then, a lay principal, with the Pastor’s support, has administered the School.