  The formation, accretion and growth of supermassive black holes in the early
universe are investigated. The accretion rate ${\dot M}$ is calculated using
the Bondi accretion rate onto black holes. Starting with initial seed black
holes with masses $M_{\rm BH}\sim 10^2-10^3M_{\odot}$, the Bondi accretion rate
can evolve into a supermassive black hole with masses $M_{\rm BH}\sim
10^9-10^{10}M_{\odot}$ and with a young quasar lifetime $\sim 10^5-10^6$ years
by super-Eddington accretion.
