The differential inclusive jet cross sections for the reaction ep --> e + j
et + X have been measured by the ZEUS detector at HERA for Q(2) > 125 (500,
1000, 2000) GeV2. The sample of analysed events corresponds to an integrat
ed luminosity of 42.5 pb(-1). Jets were identified in the laboratory frame
using k(T) cluster algorithm. Jets were required to have axis in the pseudo
rapidity range -1 < eta < 2 and the transverse momentum greater then 14 GeV
. The differential inclusive jet cross sections were measured as a function
of the jet pseudorapidity eta, transverse energy E-T and Q(2).