Аннотация:The long-period (P=32.46 days) variability of the amplitude and shape of the optical light curves of the X-ray binary HD 153919 has been discovered from the analysis of all published photometric data. This periodicity is presumably due to the eclipses of the optical star O6f by the «precessing» accretion structure surrounding the neutron star. The variability of the equivalent width of the emission line He II 4686 and the amplitude and shape of radial velocity curves with the period 32.46 days imply that the (precession of the accretion structure is caused by the precession of the rotational axis of the optical star O6f. This phenomenon is similar to that which is presumably observed in the systems HZ Her and SS 433. Optical light corrected for the eclipse effects has the amplitude of the ellipsoidal light variability 0.027—0.035 mag and is in good agreement with the duration of the X-ray eclipses and with the spectroscopic data. The depth of the eclipse is about 0.04 mag. The estimations of the parameters of the system are obtained. It is shown that the parameter of the Roche Lobe filling for the optical star O6f is \mu<1. The supernova explosion in a binary system is suggested as the main cause of the precession of the rotational axis of the optical star, and related problems are discussed.