It is explained in the following verses from the Bhagavad Gita(2.22,2.13,2.20) that the soul passes on to another body at the time of death.
However if the soul lives a life of devotion to the Supreme Lord Krishna and is completely surrendered to His will the Lord promises that the soul will return to His abode in Goloka Vrindavan.(9.34)
All verses have been presented below for your reference.
http://www.asitis.com/9/34.HTML
man-mana bhava mad-bhakto
mad-yaji mam namaskuru
mam evaisyasi yuktvaivam
atmanam mat-parayanah
Engage your mind always in thinking of Me, offer obeisances and worship Me. Being completely absorbed in Me, surely you will come to Me.
http://www.asitis.com/2/22.HTML
vasamsi jirnani yatha vihaya
navani grhnati naro 'parani
tatha sarirani vihaya jirnany
anyani samyati navani dehi
As a person puts on new garments, giving up old ones, similarly, the soul accepts new material bodies, giving up the old and useless ones.
http://www.asitis.com/2/13.HTML
dehino 'smin yatha dehe
kaumaram yauvanam jara
tatha dehantara-praptir
dhiras tatra na muhyati
As the embodied soul continuously passes, in this body, from boyhood to youth to old age, the soul similarly passes into another body at death. A self-realized soul is not bewildered by such a change.
http://www.asitis.com/2/20.HTML
na jayate mriyate va kadacin
nayam bhutva bhavita va na bhuyah
ajo nityah sasvato 'yam purano
na hanyate hanyamane sarire
For the soul there is never birth nor death. Nor, having once been, does he ever cease to be. He is unborn, eternal, ever-existing, undying and primeval. He is not slain when the body is slain.
read aithareya upanishad inhttp://www.ashokha.co.cc for complete explanation about
birth and death.