This is because Allah descends to the lowest heaven during the last third of the night, asking, 'Who is asking me, so I can give to him? Who is calling upon me, so I can answer him? Who is seeking my forgiveness, so I can forgive him?'' X Research source Though the Tahajjud can be prayed at any part of the night, if possible, it is best to pray it after midnight, especially during the last third of the night.
After praying the Isha prayer and before going to sleep, make arrangements to wake up during the night before the Fajr prayer (for instance, you may want to set an alarm clock or have a family member agree to wake you).