I want to know that can a menstruating woman during the period of her menses offer the Sajdah (prostration) of thank to Allaah. Please reply me with reference to Hadeeth as soon as possible.

All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.

The majority of scholars are of the view that prostration for thankfulness or recitation is considered as a form of prayer, so purity is required for this prostration as it is required for prayer. Based on this opinion, it is not permissible for a woman in menstruation to prostrate for thankfulness or for the recitation of the Qur'an. 

Allaah knows best.