  This paper is devoted to the estimation of the number of points of bounded
height on fibrations in toric varieties over algebraic varieties, generalizing
previous work by Strauch and the second author. Under reasonable hypotheses on
``Arakelov L-functions'' of the base, we show how to deduce a good estimate for
the open subset of the total space of the unerlying fibration in torus. In
passing, we improve drastically the error term for toric varieties themselves,
generalizing a theorem by de la Breteche over any number field.
