Stewart Streit, 81, is the only player to win the British, Canadian, US and Australian women's amateur titles, and Bell, 79, was a Curtis Cup captain.
In September 2014 the Royal and Ancient voted to allow women members for the first time in its 260-year history.
In February, the Princess Royal became one of the first women to join.
Along with Stewart Strait and Bell, a further eight women have also become members of the club.
Canada's Marlene Stewart Streit and American Judy Bell are the latest women to become honorary members of the Royal and Ancient Golf Club of St Andrews.