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In the second part of the OGLE-III Catalog of Variable Stars (OIII-CVS) wepresent 197 type II Cepheids and 83 anomalous Cepheids in the Large MagellanicCloud (LMC). The sample of type II Cepheids consists of 64 BL Her stars, 96 WVir stars and 37 RV Tau stars. Anomalous Cepheids are divided into 62fundamental-mode and 21 first-overtone pulsators. These are the largest samplesof such types of variable stars detected anywhere outside the Galaxy.  We present the period-luminosity and color-magnitude diagrams of stars in thesample. If the boundary period between BL Her and W Vir stars is adopted at 4days, both groups differ significantly in (V-I) colors. We identify a group of16 peculiar W Vir stars with different appearance of the light curves, brighterand bluer than ordinary stars of that type. Four of these peculiar W Vir starsshow additional eclipsing modulation superimposed on the pulsation lightcurves. Four other stars of that type show long-period secondary variationswhich may be ellipsoidal modulations. It suggests that peculiar W Vir subgroupmay be related to binarity. In total, we identified seven type II Cepheidssimultaneously exhibiting eclipsing variations which is a very large fractioncompared to classical Cepheids in the LMC. We discuss diagrams showing Fourierparameters of the light curve decomposition against periods. Three sharpfeatures interpreted as an effect of resonances between radial modes aredetectable in these diagrams for type II Cepheids.

The Optical Gravitational Lensing Experiment. The OGLE-III Catalog of  Variable Stars. II. Type II Cepheids and Anomalous Cepheids in the Large  Magellanic Cloud