We present experimental evidence of spontaneous buildup of coherent ex
citon polariton population in a microcavity, i.e., an exciton polarito
n laser. The laser phase transition was confirmed by the increased dif
ferential quantum efficiency,and decreased linewidth of the lasing pol
ariton mode due to onset of final-state stimulations and the decreased
differential quantum efficiency of a nonlasing polariton due to onset
of gain clamping at threshold. The exciton polariton laser is distinc
tly different from an optical laser because of its density-dependent s
cattering mechanism. The rate equations, taking into account phonon-as
sisted polariton emission and the polariton-reservoir exciton scatteri
ng rate, explain the measurement results well.