His wife is called Vajramala and his two sons are called Kumbha and Nikumbha,
Vajramala is the name of Kumbhkarana's wife. Kumbh and Nikumbh are their sons.
Vajramala was the name of kumbhkaran. she has two sons kumbh and nikumbh from kubhkaran. there was one more wife of kumbh karan. her name was karkati. and her sons name was Bheema. he was on a mission to destroy lord vishnu. in his path of doing so he dstroyed a devottee or lord shiva. lord shiva was upset due to this and he in turn destroyed bheema. this place where all this happened is today called bheemashankar whcih is one of the 12 jyoti lingas in india. If you like to <a title="Kumbh Karan games" href="http://ifgo.net/kumbh-karan-games-the-valley-of-monsters/" target="_blank">play Kumbh Karan games click here</a>