Question Summary:
Is that permissible to read Surahs From the Holy Quran during Tahajjud of Sunnah Prayer

Question Detail:

Is that permissible to read Surahs From the Holy Quran during Tahajjud of Sunnah Prayer

Answer :

In the name of Allah, Most Gracious, Most Merciful
Assalaamu `alaykum waRahmatullahi Wabarakatuh
Your query is not clear.  It appears you wish to enquire about holding the Quran and reading from the Quran. If so, it is not permissible to hold the Quran in salah and read from the Quran. One may read any surahs of the Quran one knows in tahajjud salah.
And Allah knows best
Wassalam
Mufti Ebrahim Desai
Darul Iftaa, Madrassah In'aamiyyah