Archbishop Henry D'Souza received a letter announcing the waiver from the Vatican in December .
'The demand was so great and insistent that the Holy Father thought to go ahead,' a Vatican spokesman said.
Now Archbishop D'Souza can begin the process of gathering testimony about the nun, the first step toward beatification and sainthood.
Beatification requires the confirmation of a miracle. After beatification, research on a second miracle needed for canonisation, can begin.
Already two miracles have been attributed to Mother Teresa.
The first involved a French woman who had broken several ribs in a car accident. Her injuries miraculously healed when she wore a Mother Teresa medallion.
The second miracle reported was that of a Palestinian girl with cancer who was cured after Mother Teresa appeared in her dreams, saying: 'Child, you are cured.'