There are four-fold assembly of disciples in Buddhism: bhik.su and bhik.su.nii, (fully ordained men and women) upaasaka and upaasikaa (lay men and women). In Tibetan Buddhism the assembly of bhik.su.nii is non-existent. As Tibetan Buddhism becomes more and more popular in the world, it faces more and more criticism of its non-existence of a bhik.su.nii order, as it indicates more or less a sex discrimination. Recently two seminars on the bhik.su.nii ordination and the possible establishment of a Tibetan Bhik.su.nii lineage were held in Taiwan and Dharamsala. In response to this movement, this paper deals with the issues concerning the bhik.su.nii ordination in different vinaya traditions, the Chinese Bhik.su.nii ordination and how a Tibetan Bhik.su.nii lineage can be established. Specifically, the paper includes three parts. The first part compares bhik.su.nii ordination in different vinaya traditions, including Dharmagupta, Muularsarvaastivaada, Theravaada, Mahaasaa^nghiika, etc. The second part discusses as how the Chinese Bhik.su.nii order was established, the procedures of the ordination and the validity of the Chinese Bhik.su.nii lineage. The last part deals with the issues concerning the establishment of a Tibetan Bhik.su.nii order, including the difference of the praatimok.sa between Dharmagupta and Muulasarvaastivaada, the single and dual ordinations, the possibility of the combination of two different vinaya lineages. Finally, the ways for the establishment of a Tibetan Bhik.su.nii sa^ngha are suggested.