  We construct examples of compact hyperkaehler manifolds with torsion (HKT
manifolds) which are not homogeneous and not locally conformal hyperkaehler.
Consider a total space T of a tangent bundle over a hyperkaehler manifold M.
The manifold T is hypercomplex, but it is never hyperkaehler, unless M is flat.
We show that T admits an HKT-structure. We also prove that a quotient of T by a
$\Z$-action $v \arrow q^n v$ is HKT, for any real number $q\in \R$, $q>1$. This
quotient is compact, if M is compact. A more general version of this
construction holds for all hyperholomorphic bundles with holonomy in Sp(n).
