  We focus on the problem of producing new modular tensor categories from Hopf
algebras. To do this, we first give a general method to construct factorizable
Hopf algebras. Then we apply the method to construct two families of ribbon
factorizable Hopf algebras which are not quantum groups or Drinfel'd double.
One family are point Hopf algebras which give non-semisimple modular tensor
categories, while the other family are C^*-Hopf algebras which give new unitary
modular tensor categories. Lastly, we determine the fusion rings of these
unitary modular tensor categories.
