Salman Farsi narrates that Prophet Muhammad (peace and blessings upon him and his family) said "O Salmaan, there is no Mumin/Muminah (True Believer/Female Believer) who performs 30 Raka' in the month of Rajab; that Allah does forgive them their sins and bestows rewards upon them as upon a person who has fasted a whole month. He becomes among those who will be steadfast in their salaat in the year which is to come. For him, the deeds of the day are equal to that of the martyr. He will be raised with the Martyrs of the Holy Battle of Badr. For him is written for the fast of each day, one year's worship. His station is raised 1000 times higher.”
He said Jibreel informed me "O Muhammad this is the sign between you and the Mushrikeen (Polytheists) and the Munaafiqeen (Hypocrites) because the Munafiq does not perform this Salaat."
Method of Salaah:
10 units on 1st, 10 units on 15th and 10 units on the last day
10 Raka' ( 2 units each x 5 )and in each Raka' recite; Surah Al-Fatihah once, Surah Al Ikhlas 3 times and Surah Al Kafiroon 3 times and after you recite Salaam (at the end of each 2 units) raise your hands and say:
لاَ إِلٰهَ إِلاَّ ٱللَّهُ
la ilaha illa allahu
وَحْدَهُ لاَ شَرِيكَ لَهُ
There is no god save Allah,
wahdahu la sharika lahu
لَهُ ٱلْمُلْكُ وَلَهُ ٱلْحَمْدُ
the One and Only Who has no partner.
lahu almulku wa lahu alhamdu
To him is the kingdom and to Him is all praise.
yuhyi wa yumitu
وَهُوَ حَيٌّ لاَ يَمُوتُ
He gives life and causes to die
wa huwa hayyun la yamutu
while He is Ever-living and never dies.
وَهُوَ عَلَىٰ كُلِّ شَيْءٍ قَدِيرٌ
In His hand is the good
wa huwa `ala kulli shay'in qadirun
and He has power over all things.
The following litany should be said thereafter on the 1st day of Rajab:
اَللَّهُمَّ لاَ مَانِعَ لِمَا أَعْطَيْتَ
allahumma la mani`a lima a`tayta
وَلاَ مُعْطِيَ لِمَا مَنَعْتَ
O Allah, verily, none can ever divest him whom You decide to give,
wa la mu`tiya lima mana`ta
وَلاَ يَنْفَعُ ذَا ٱلْجَدِّ مِنْكَ ٱلْجَدَّ
none can ever give him whom You decide to deprive,
wa la yanfa`u dhaljaddi minka aljadda
and nothing can ever stop that which You decide.
Then, one should pass the hands over the face.
Other ten units of this prayer should be offered on the fifteenth (i.e. middle) of Rajab in the very aforementioned form and litanies. However, the following litany should be added after the first one:
إِلٰهاً وَاحِداً أَحَداً
ilahan wahidan ahadan
The Lord Who is One, One and Only,
لَمْ يَتَّخِذْ صَاحِبَةً وَلاَ وَلَداً
Singular, and Besought by the all,
lam yattakhidh sahibatan wa la waladan
has betaken neither a wife nor a son.
The last ten units of this prayer should be offered on the last day of Rajab in this very form; rather, the following litany is added after the first one:
وَصَلَّىٰ ٱللَّهُ عَلَىٰ مُحَمَّدٍ وَآلِهِ ٱلطَّاهِرِينَ
wa salla allahu `ala muhammadin wa alihi alttahirina
وَلاَ حَوْلَ وَلاَ قُوَّةَ إِلاَّ بِٱللَّهِ ٱلْعَلِيِّ ٱلْعَظِيمِ
May Allah send blessings to Muhammad and upon his Household, the Immaculate.
wa la hawla wa la quwwata illa billahi al`aliyyi al`azimi
There is neither might nor power save with Allah, the Most High, the All-great.
Then, one should pass the hands over the face and submit his requests.