The probability density function (PDF) of passive scalar dissipation P
(epsilon) is found analytically in the limit of large Peclet and Prand
tl numbers (Batchelor-Kraichnan regime) in two dimensions. The tail of
PDF at epsilon >> [epsilon] is shown to be stretched exponent ln P(ep
silon) proportional to epsilon(1/3); at epsilon << [epsilon], P propor
tional to 1/root epsilon.