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Jet energy scale measurements and their systematic uncertainties are reported for jets measured with the ATLAS detector using proton-proton collision data with a center-of-mass energy of TeV, corresponding to an integrated luminosity of 3.2 fb collected during 2015 at the LHC. Jets are reconstructed from energy deposits forming topological clusters of calorimeter cells, using the anti- algorithm with radius parameter . Jets are calibrated with a series of simulation-based corrections and in situ techniques. In situ techniques exploit the transverse momentum balance between a jet and a reference object such as a photon, boson, or multijet system for jets with GeV and pseudorapidities of , using both data and simulation. An uncertainty in the jet energy scale of less than 1% is found in the central calorimeter region () for jets with GeV. An uncertainty of about 4.5% is found for low- jets with GeV in the central region, dominated by uncertainties in the corrections for multiple proton-proton interactions. The calibration of forward jets () is derived from dijet balance measurements. For jets of GeV, the additional uncertainty for the forward jet calibration reaches its largest value of about 2% in the range and in a narrow slice of .