White married Sara Lodge (baptized 1549), daughter of Sir Thomas Lodge, Lord Mayor of London, by whom he had at least one son, also named Edward White.
Sara Lodge and her sister, Susan Lodge (baptized 1551), were the only two children of Sir Thomas Lodge's second marriage to Margaret Parker (d. 26 April 1552), while the physician and playwright Thomas Lodge was one of the seven children of Sir Thomas's third marriage to Anne Luddington (1528-1579).