It is narrated from Hzt. 'Aisha Siddiqua Raz. that Hzt. Rasoolullah Sal'am, offered prayer in the mosque one night and a few people joined him. Then on the second night a few more joined, on the third day also the number increased on the fourth night there was large gathering, Hzt. Rasoolullah Sal'am did not go out that night. In the morning he said to them that he was observing and their anxiety. He did not come out, fearing that this prayer (Taraveeh prayer) may be made obligatory (Farz) for them. (Saheeh Muslim)
Taraveeh prayer is sunnat-e-Muakkadah for man and woman. (Durre Mukhtar)
If a person was unable to join Farz prayer of 'Isha and performed it alone, he can join the Taraveeh prayer in congregation. (Durre Mukhtar)
If 'Isha prayer is not performed in congregation, then the Taraveeh prayer also can not be offered in congregation, because Traveeh prayer depends upon Farz prayer of Isha. (Ghayatul Autar)
If a person attended 'Isha prayer in congregation but did not offer Taraveeh prayer, he can offer Vitre prayer in congregation. (Durre Mukhtar)
If a person performs 'Isha prayer alone, he should not offer Vitre prayer in congregation. (Shami)
If a group of people offered Isha prayer in congregation but did not offer Taraveeh in congregation, they should not offer Vitre prayer in congregation, because Vitre prayer in congregation depends upon taraveeh prayer. (Shami)
Sitting idly at the time of Taraveeh and joining congregation when the Imam goes in ruku is undesirable (makrooh). (Durre Mukhtar, Alamgiri)
Offering Taraveeh prayer sitting wihtout any excuse is undesirable (Makrooh) (Durre Mukhtar)
Offering Taraveeh prayer twice is congregation in one Mosque is undesirable (Makrooh). (Durre Mukhtar)
One Imam leading Taraveeh prayer in two Mosque is not correct. (Alamgiri)
One Imam offering 'Isha prayer and vitre prayer and another offering Taraveeh prayer is permissible. Hzt. 'Omer Raz. himself used to perform as Imam for Farz (Isha) and vitre prayer and Hzt. Abi Ibne Kab Raz. used to lead the Taraveeh prayer. (Alamgiri)
If two rak'ats of Taraveeh are Nullified due to error in reciting Quran or other mistake, that much of Quran is to be repeated in order to complete the Holy Quran correctly in prayer. (Alamgiri)
If no Hafez-e-Quran is available to recite
the Holy Quran in Taraveeh, it is better to recite from Soora “Alam Tra Kaifa”.
(Alamgiri) 
If the Imam does not sit in Qa’ida after two Rak'at in Taraveeh prayer and stands up by oversight, and realises his mistake before doing sajdah for the third Rakat he should sit in Qa’ida and offer salam on both sides. But if he remembers it after performing Sajdah of the third rakat, he should offer one more rakat. In these circumstances, as a concession it is treated as correct and the prayer will not be nullified. These four rakats will stand for two rakat. (Alamgiri)
Intention (Niyyat) for Taraveeh Prayer
I intend to offer two rak'ats of Taraveeh Sunnat-e-Rasoolullahi-taala, behind this Imam
for the
sake of Allah turning my face towards Ka'bah, Allaho Akber. (Zaoq Shaoq Namaz)
Important: The method of performing Taraveeh from 1st to 3rd day is as mentioned above intention (Niyyat) and from 4th to 10th day of Taraveeh instead of “Sunnat-e-Rasoolullahi T'ala” as per Mahdi-e-Mauood Allahis Salam" should be recited. (Zaoq Shaoq Namaz)
The mode of performing it is as follows. On 29th of
“Sha'ban if the moon is sighted on the sky, on the same night, or on the 30th of
Sha'ban if the moon does not appear on 29th of Shaban, at the time of ‘Isha prayer
offer four rakats of sunnat reciting Zamme Soorah (Joining soorah) in all the four rakats,
after soorah-e-fatiha. Then offer Four rakats of Farz and two rakats of sunnat. Thenafter
offer ten Duganas (i.e. (10) set of salah in two rakats each), in congregation and then
offer Vitre prayer also in congregation.
After finishing the First Dugana; Recite the following Tasbeeh—
(Zaoq Shaoq Namaz) ‘O’ well known merciful and well known blessing, bestow Thy
kindness
and favours on us, and Thy kindness, and Thy mercy, ‘O’ Allah, ‘O’ Allah, ‘O’ Allah.
After finishing second Dugana; The following invocations are to be recite once after reciting the Kalmi-e-Shahadat—-
‘O’ Allah we pray Thee, wish Thy Heaven and Thy vision, seek Thy shelter from
the horrible fire
of the Hell. ‘O’ Creators of the Heavens and the Hell. By means of Thy mercy,
‘O’ Almighty
Allah, ‘O’ Forgiver of sins, Most Merciful, ‘O’ Concealor of the sins,
Most kind and Merciful. ‘O’
Great Allah save us from the Hell, ‘O’ protector from troubles Thouart Excuser
of sins and
errors, ‘O’ Forgiver of our sins, ‘O’ Kind and Merciful Allah.After
this recite the tasbeeh of the
first dugana once. (Z.S. Namaz)
After finishing the third Dugana: Recite Tasbeehat recited in the first Dugana once.
After finishing Fourth Dugana: Recite the following Durood Shareef three times—
‘O’ Allah, Shower Thy Blessing on Mohammed Sal'am and the decendent, of Mohammed
Sal'am. ‘O’ Allah glorify Mohammed and decendents of Mohammed Sal'am and shower
Thy
blessing and safety on them, and shower Thy blessing on all the prophets and messengers of
Allah and prominent angels of Allah and good and pious people and all the angles by Thy
Grace and Mercy. ‘O’ Most kind and Merciful Allah. After this recite the tasbeeh
of the first
dugana once. (Zoaq Shoaq Namaz)
After finishing Fifth Dugana: Recite Tasbeehat which were recited in the First Dugana.
After finishing Sixth Dugana: Recite the following three times—
Glory be to Allah and praise, there is no diety but Allah, Allah is the Most Great, there
is no
power, no might but Allah, the Most High the Most Elevated.
And then recite tasbeehat recited in the first dugana.
After finishing Seventh Dugana: Recite Tasbeehat recited in the First Dugana.
After finishing Eight Dugana: Recite three times this —
Glory be to Allah and all praises and purities, the Most High, the Most Elevated,
I beseech the Forgiveness of Allah for all sins and mistakes commited by me
and offer repentance before Him.
And recite Dua and Tasbeehat which were recited in the second Dugana, and first Dugana.
After finishing Nineth Dugana: Recite Tasbeehat which are recited in the First Dugana.
After finishing Tenth Dugana: Recite three times this —
I seek pardon of Allah from all my sins who is the real Allah, who is alive for ever and
who is
the Greatest forgiver of sins, concealor of the deficiencies; Who knows the unknown;
Who grants favours and Who turns the hearts and eyes for good. I seek pardon of Him
and repent before Him.
And recite tasbeehat which were in the second Dugana and Tasbeeh of the First Dugana
once.
After this offer Vitre prayer in congregation, and recite the following tasbeeh three times——
Glorified is He, who is the Master of the earth and that of the Heaven, Glorified is He,
Who is the possessor of Honour, Dignity, Greatness and Grandeur, Glorified is He,
Who is the king ever lasting, Who never sleeps nor dies, He is extremely pure and sacred,
He is our sustainer and that of the Angels in general and of Jibraeel.
After this recite the Dua which was recited in the second Dugana and tasbeeh recited
in the first Dugana once.