  We study the Kondo lattice model with a direct antiferromagnetic exchange
interaction between localized moments. Ferromagnetically long-range ordered
state coexisting with the Kondo screening shows a continuous quantum phase
transition to the Kondo singlet state. We obtain the value of the critical
point where the magnetizations of the localized moments and the conduction
electrons vanish. The magnetization curves yield a universal critical exponent
independent of the filling factors and the strength of the interaction between
localized moments. It is shown that the direct exchange interaction between
localized moments introduces another phase transition from an antiferromagnetic
ordering to a ferromagnetic ordering for small Kondo exchange interaction. We
also explain the local minimum of the Kondo temperature in recent experiments.
