By using the reflection equations, we prove the integrability of the g
eneral exactly solvable models with open boundary conditions. For the
Izergin-Korepin model, we find a diagonal solution of the reflection e
quation. Using the algebraic Bethe ansatz method, we solve the eigenva
lue problem of the Izergin-Korepin model with this diagonal reflecting
matrix, the corresponding Bethe ansatz equations are obtained.