  In a previous paper, we studied the Higgs pair production in the standard
model with the reaction $e^{+}e^{-}\to t \bar t HH$. Based on this, we study
the Higgs pair production via $e^{+}e^{-}\to b \bar b HH$. We evaluate the
total cross section of $b\bar bHH$ and calculate the number total of events
considering the complete set of Feynman diagrams at tree-level, and compare
this process with the process $e^{+}e^{-}\to t \bar t HH$. The numerical
computation is done for the energy which is expected to be available at a
possible Next Linear $e^{+}e^{-}$ Collider with a center-of-mass energy $800,
1000, 1600$ $GeV$ and luminosity 1000 $fb^{-1}$.
