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We present a collection of classical, type II, and anomalous Cepheidsdetected in the OGLE fields toward the Galactic center. The sample contains 87classical Cepheids pulsating in one, two or three radial modes, 924 type IICepheids divided into BL Her, W Vir, peculiar W Vir, and RV Tau stars, and 20anomalous Cepheids - first such objects found in the Galactic bulge.Additionally, we upgrade the OGLE Collection of RR Lyr stars in the Galacticbulge by adding 828 newly identified variables. For all Cepheids and RR Lyrstars, we publish time-series VI photometry obtained during the OGLE-IVproject, from 2010 through 2017.  We discuss basic properties of our classical pulsators: their spatialdistribution, light curve morphology, period-luminosity relations, and positionin the Petersen diagram. We present the most interesting individual objects inour collection: a type II Cepheid with additional eclipsing modulation, W Virstars with the period doubling effect and the RVb phenomenon, a mode-switchingRR Lyr star, and a triple-mode anomalous RRd star.

The OGLE Collection of Variable Stars. Classical, Type II, and Anomalous Cepheids toward the Galactic Center