The double-differential inclusive jet cross section is measured as a function of jet transverse momentum $p_{\mathrm {T}}$ and absolute rapidity $|y |$ , using proton-proton collision data collected with the CMS experiment at the LHC, at a center-of-mass energy of $\sqrt{s} = 2.76,{\mathrm{TeV}}$ and corresponding to an integrated luminosity of 5.43 $,\text {pb}^{-1}$ . Jets are reconstructed within the $p_{\mathrm {T}}$ range of 74 to 592 $,\text {GeV}$ and the rapidity range $|y |<3.0$ . The reconstructed jet spectrum is corrected for detector resolution. The measurements are compared to the theoretical prediction at next-to-leading-order QCD using different sets of parton distribution functions. This inclusive cross section measurement explores a new kinematic region and is consistent with QCD predictions.