All Tennis Players How Many Grand Slams Has Arthur Ashe Won? Arthur Robert Ashe Jr. (July 10, 1943 – February 6, 1993) was an American professional tennis player who won three Grand Slam singles titles.Arthur Ashe has won 3 Grand Slams. FacebookTwitterEmail How Many Grand Slams Has Madison Keys Won? How Many Grand Slams Has Jannik Sinner Won? How Many Majors Has John Isner Won?