A strong X-ray illumination of the optical star atmosphere in Her X-l, asym
metric because of a partial shadowing by the tilted twisted accretion disk
around central neutron star, leads to the formation of matter flows coming
out of the orbital plane and crossing the line of sight before entering the
disk. We suggest that the absorption of X-ray emission by this flow leads
to the formation of pre-eclipse and anomalous dips of type I. These dips ar
e observed during several orbits after turn-on both in the main-on and shor
t-on state. Almost coherent action of tidal torques and matter streams enha
nces the disk wobbling which causes the disk edge to shield the X-ray sourc
e after the turn-on. Anomalous dips of type II and post-eclipse recovery ap
pear due to this process only on the first orbit after turn-on.