  In this letter we develop the theory of Hall effect driven by non-collinear
magnetic textures (topological Hall effect - THE) in diluted magnetic
semiconductors (DMS). We show that a carrier spin-orbit interaction induces a
chiral magnetic ordering inside a bound magnetic polaron (BMP). The inner
structure of non-collinear BMP is controlled by the type of spin-orbit
coupling, allowing to create skyrmion- (Rashba) or antiskyrmion-like
(Dresselhaus) configurations. The asymmetric scattering of itinerant carriers
on polarons leads to the Hall signal which exists in weak external magnetic
fields and low temperatures. We point out that DMS-based systems allow one to
investigate experimentally the dependence of THE both on a carrier spin
polarization and on a non-collinear magnetic texture shape.
