We present phase control of the fluctuation-induced bistability in the thre
e-level A-type system where a weak, amplitude-fluctuating component and a s
trong coherent component are used as a control field. With the addition of
the stochastic component, optical bistability can be produced even if detun
ings of the probe and control fields from corresponding atomic transition f
requencies are equal; without the addition, the medium is transparent to th
e input light. Depending on the relative phase between the stochastic and c
oherent parts, bistability appears or disappears and the threshold intensit
y is raised or lowered.