Salaat-al-ghufaylah is offered in the period between the Sunset (maghrib) and the Evening (`isha') Prayers.
This prayer consists of two units (rakaat)
in the first rakaat after Surah al-Fatihah you should recite verses 87 and 88 of Surah al-Anbiya' (Quran: 21: 87-88) - see below
In the second unit (rakaat), after Surah al-Fatihah , you should recite, verse 59 of surah An'aam (Quran: 6:59) - see below
After that, you should raise your both hands for Qunut, and recite.. - see below (followed by hajaat)
1st rakaat -verses 87 and 88 of Surah al-Anbiya' (Quran: 21: 87-88)
وَذَا ٱلنُّونِ إِذْ ذَهَبَ مُغَاضِباً
wa dha alnnuni idh dhahaba mughadiban
And (mention) Dhu'n-Nun (Jonah), when he went off in anger
فَظَنَّ انْ لَنْ نَقْدِرَ عَلَيْهِ
fazanna an lan naqdira `alayhi
and deemed that We would not suppress his sustenance.
فَنَادَىٰ فِي ٱلظُّلُمَاتِ
fanada fi alzzulumati
But he cried out in the darkness,
انْ لاَ إِلٰهَ إِلاَّ انْتَ سُبْحَانَكَ
an la ilaha illa anta subhanaka
“There is no god save You. Be You Glorified!
إِنِّي كُنتُ مِنَ ٱلظَّالِمِينَ
inni kuntu min alzzalimina
Lo! I have been a wrongdoer.”
فَٱسْتَجَبْنَا لَهُ وَنَجَّيْنَاهُ مِنَ ٱلغَمِّ
fastajabna lahu wa najjaynahu min alghammi
Then we heard his prayer and saved him from the anguish.
وَكَذٰلِكَ نُنْجِي ٱلْمُؤْمِنِينَ
wa kadhalika nunji almu'minina
Thus do we save the believers.
2nd rakaat - verse 59 of surah An'aam (Quran: 6:59)
وَعِنْدَهُ مَفَاتِحُ ٱلْغَيْبِ
wa `indahu mafatihu alghaybi
And with Him are the keys of the Invisible.
لاَ يَعْلَمُهَا إِلاَّ هُوَ
la ya`lamuha illa huwa
None but He knows them.
وَيَعْلَمُ مَا فِي ٱلْبَرِّ وَٱلْبَحْرِ
wa ya`lamu ma fi albarri walbahri
And He knows what is in the land and the sea.
وَمَا تَسْقُطُ مِنْ وَرَقَةٍ إِلاَّ يَعْلَمُهَا
wa ma tasqutu min waraqatin illa ya`lamuha
Not a leaf falls but He knows it,
وَلاَ حَبَّةٍ فِي ظُلُمَاتِ ٱلارْضِ
wa la habbatin fi zulumati al-ardi
not a grain amid the darkness of the earth,
وَلاَ رَطْبٍ وَلاَ يَابِسٍ
wa la ratbin wa la yabisin
naught of wet or dry
إِلاَّ فِي كِتَابٍ مُبِينٍ
illa fi kitabin mubinin
but (it is noted) in a clear record.
2nd rakaat - Qunoot dua
اَللَّهُمَّ إِنِّي اَسْالُكَ بِمَفَاتِحِ ٱلْغَْيِبِ
allahumma inni as'aluka bimafatihi alghaybi
O Allah, I beseech You in the name of the Keys of the Invisible (world)
ٱلَّتِي لاَ يَعْلَمُهَا إِلاَّ انْتَ
allati la ya`lamuha illa anta
that none knows save You;
اَنْ تُصَلِّيَ عَلَىٰ مُحَمَّد وَآلِهِ وَ انْ…
an tusalliya `ala muhammadin wa alihi…
(please) send blessings to Muhammad and his Household and...
You may then mention your needs. Then, say the following..
اَللَّهُمَّ انْتَ وَلِيُّ نِعْمَتِي
allahumma anta waliyyu ni`mati
O Allah, You are the source of the graces that I have,
وَٱلْقَادِرُ عَلَىٰ طَلِبَتِي
walqadiru `ala talibati
You have the power to respond to my request,
تَعْلَمُ حَاجَتِي
ta`lamu hajati
and You know my needs;
فَاسْالُكَ بِحَقِّ مُحَمَّد وَآلِهِ
fa-as'aluka bihaqqi muhammadin wa alihi
I therefore beseech You in the name of Muhammad and his Household,
عَلَيْهِ وَعَلَيْهِمُ ٱلسَّلاَمُ
`alayhi wa `alayhimu alssalamu
peace be upon him and them,
لَمَّا قَضَيْتَهَا لِي
lamma qadaytaha li
to grant me my needs.
You may then pray to Him for your personal needs, for it has been narrated that any one who offers this prayer and supplicates Almighty Allah will have his requests granted.
Salat ul-Ghufayla
One of the most recommended prayers in Islamic teachings, is Salat ul-Ghufayla. It is a two unit prayer that takes only a few minutes to perform between Maghrib and Isha' prayers but comes highly recommended by the Ahlul Bayt, 'alayhum as-salam, with great rewards.
A hadith from Imam As-Sadiq, alayhi as-salam, from his fathers, from Rasul Allah Muhammad, Salallahu alahi' wa 'aali wa sallam, found in the book Thawab ul-Amal by Shaykh as-Sadooq, places the reward of praying Salat ul-Ghufayla, as inheriting paradise. Other narrations point to the fulfillment of wishes because of the Salah.
We usually pray Maghrib followed by Isha' and not reflect upon the short time in between these two prayers.
It's called the time of Ghafla', meaning negligence, since people are generally heedless of its importance as well as potential.
Text, translation and recitation from Duas.org