A new type of chromospheric jets in a polar limb of a coronal hole is discovered in the Ca II filtergram of the Solar Optical Telescope on board the Hinode . We identify 30 jets in the Ca II movie of duration of 53 min . The average speed at their maximum heights is found to be 132 \pm 44 km s ^ { -1 } ranging from 57 km s ^ { -1 } to 264 km s ^ { -1 } along the propagation direction . The average lifetime is 20 \pm 6 ranging from 11 seconds to 36 seconds . The speed and lifetime of the jets are located at end-tails of those parameters determined for type II spicules , hence implying a new type of jets . To confirm whether these jets are different from conventional spicules , we construct a time-height image averaged over horizontal region of 1 \arcsec , and calculate lagged cross-correlations of intensity profiles at each height with the intensity at 2 Mm . From this , we obtain a cross-correlation map as a function of lag and height . We find that the correlation curve as a function of lag time is well fitted into three different Gaussian functions whose standard deviations of the lag time are 193 seconds , 42 seconds , and 17 seconds . The corresponding propagation speeds are calculated to be 9 km s ^ { -1 } , 67 km s ^ { -1 } , and 121 km s ^ { -1 } , respectively . The kinematic properties of the former two components seem to correspond to the 3 minutes oscillations and type II spicules , while the latter component to the jets addressed in this study .