How many of Henry VII children succeeded him to the throne?

All three of Henry VIII's legitimate children became monarchs of England.

Edward VI, son of Henry and Jane Seymour, reigned from 1547 to 1553

Mary I, daughter of Henry and Catherine of Aragon, reigned from 1553 to 1558

Elizabeth I, daughter of Henry and Anne Boleyn, reigned from 1558 to 1603.