The LHC heavy-ion physics program aims at investigating the fundamental properties of nuclear matter under extreme conditions of energy density and temperature, where a transition to a Quark-Gluon Plasma (QGP) is expected. Jets, defined as sprays of hadrons resulting from the fragmentation of high-energy partons, are among the most powerful probes of QGP transport properties. Jets indeed suffer substantial energy loss while traversing the medium, which can be quantified by the modification of several experimental observables, such as yields, fragmentation pattern and structure of jets. Here we report on the ALICE measurement of jet nuclear modification factors and cross section ratios for different jet resolution parameters $R\,=\,0.2$ and $0.3$ using data sets from $\sqrt{s_\mathrm{NN}}\,=\,5.02\ \mathrm{TeV}$ pp, p-Pb, and Pb-Pb collisions at the LHC. These measurements are compared to the same measurements performed at the energy of $2.76\ \mathrm{TeV}$. Additionally, recent results of jet measurements are presented for a more comprehensive understanding of jet modification at LHC.