All Tennis Players How Many Grand Slams Has Bill Johnston Won? William Marquitz “Little Bill” Johnston (November 2, 1894 – May 1, 1946) was a former World No. 1 American tennis player.Bill Johnston 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?