The kinetic description of a collisionless system of particles in an e
xternal stochastic field possessing helicity is examined. The kinetic
equation which contains an additional term proportional to the helicit
y is obtained. The solution describing evolution of the distribution f
unction for arbitrary initial conditions is found. Particular examples
of such an evolution and some new kinetic effects connected with heli
city are discussed. It is shown that a particle beam with inhomogeneou
s velocity profile in an external stochastic helical field generates a
new particle flow in transverse direction.