The inclusive jet production in deep inelastic positron-proton
scattering at HERA is studied.
The data sample corresponds to an integrated
luminosity of L_int ~ 61.25 pb-1 and was taken in the
years 1999-2000 with the H1 detector at a centre-of-mass energy
sqrt{s} = 319 GeV.
The measured jet cross section is compared to calculations
using the NLO program NLOJET++ and the strong coupling
constant alpha_s(M_Z) is extracted.