After seeing the first night moon the Holy Prophet (s.a.) used to recite the following:
O my Allah pour out much blessings for us in Rajab and Shaban, make us reach safely Ramzan, and take up abstinence and uprightness (fasting and prayers), careful in our speech, turning the eyes from ugliness (the unlawful); and do not let us hunger for food and thirst for water while we observe fast
Another Dua'a after sighting the moon
O` Allah ! make the new moon appear, for us with security. Eeman, safety and Islam. (O`moon) my Lord and Your Lord is Allah the Mighty and Grand.
O` Allah! Send Your Blessings on Mohammad and his Progeny, Ameen.
Night of 1st Rajab
Recite 20 rakat namaaz on the night of 1st Rajab after Maghrib namaaz such that in every Rakat after Surah al- Hamd recite Surah Tawheed once. The reciter & his family will be saved from punishment in the grave & will cross Pul-e-siraat like lightening without any accounting.
Recite Ziarat Imam Hussain (as) for 1st Rajab Night
1st of Rajab
Recite 10 Rakat Namaaz on the 1st of Rajab such that in every Rakat after Surah al Hamd, recite Surah Tawheed 3 times. A person who prays this Namaaz will be saved from the squeeze of the grave.
Imam Ali ibne Abi Taalib (A.S.) had advised the faithful to recite the following Dua’a tonight after Ishaa prayers;
O my Allah I beseech Thee in the name of “Verily Thou art absolute sovereign; verily Thou has total control over all things; verily that which Thou wills, in all matters, takes place”. O my Allah I turn to Thee through Thy Prophet Muhammad, who came upon the earth from above with mercy (blessings of Allah be on him and on his children). O Muhammad, O Messenger of Allah, through you I turn to Allah, your Lord and my Lord, to make progress and succeed in my efforts. O my Allah, for the sake of Thy Prophet, Muhammad, and the Imams, from his Ahlul Bayt (blessings of Allah be on him and on them) help me to secure success in my activities.