We report on an 105 ks Suzaku observation of the supernova remnant CTA 1 ( G119.5+10.2 ) . The Suzaku soft X-ray observation was carried out with both timing mode and imaging mode . A \sim 10 ^ { \prime } extended feature , which is interpreted as a bow-shock component of the pulsar wind nebula ( PWN ) , is revealed in this deep observation for the first time . The nebular spectrum can be modelled by a power-law with a photon index of \sim 1.8 which suggests a slow synchrotron cooling scenario . The photon index is approximately constant across this extended feature . We compare and discuss our observations of this complex nebula with previous X-ray investigations . We do not obtain any significant pulsation from the central pulsar in the soft ( 0.2-12 keV ) and hard ( 10-60 keV ) X-ray data . The non-detection is mainly due to the loss of the precise imaging ability to accurately determine the source contribution . The spectra of XIS and HXD can be directly connected without a significant spectral break according to our analysis . Future observations of NuSTAR and Astro-H would be able to resolve the contamination and provide an accurate hard X-ray measurement of CTA 1 .