We study the universe model, based on quantum gravity, which called quantum cosmology. The Hartle and Hawking``s no-boundary proposal has very beautiful concept, but very difficult to applicate. Vilenkin``s tunneling boundary condition is ease to translate into the superspace language. F.R.W. model is studied but it results in failure to give the states of the present universe. There appears the problem of complex geometry, which is ignored before 1988.