  We present the Catalog of Cepheids from the SMC which contains data for 2049
objects detected in the 2.4 square degree area of central parts of the SMC. For
each object period, BVI photometry, astrometry, and R_21, \phi_21 parameters of
the Fourier decomposition of I-band light curve are provided. The Catalog is
based on observations collected during the OGLE-II microlensing survey.
  Tests of completeness performed in overlapping parts of adjacent fields
indicate that completeness of the Catalog is very high: about 92%. Statistics
and distributions of basic parameters of Cepheids are also presented.
  All presented data, including individual BVI observations (about 4.7*10^5 BVI
measurements), are available from the OGLE Internet archive.
