With the Duke of York's death, the claim transferred to his heir, Edward, who later became the first Yorkist king of England, as Edward IV. His son reigned for 78 days as Edward V, but Parliament then decided that Edward and his brother Richard were illegitimate and offered the crown to Edward IV's younger brother, who became Richard III. The two young princes disappeared within the confines of the Tower of London.
The final victory went to a claimant of the Lancastrian party, Henry Tudor, Earl of Richmond, who defeated the last Yorkist king, Richard III, at the Battle of Bosworth Field. After assuming the throne as Henry VII, he married Elizabeth of York, the eldest daughter and heir of Edward IV, thereby uniting the two claims. The House of Tudor ruled the Kingdom of England until 1603, with the death of Elizabeth I, granddaughter of Henry VII and Elizabeth of York.
https://en.wikipedia.org/wiki/Wars_of_the_Roses