We carry out a detailed calculations of W+jets production in Pb+Pb collisions at the Large Hadron Collider (LHC). In our calculations, the production of W+jet in p+p reference is obtained from Sherpa, which matches next-to-leading-order matrix elements to the resummation of parton shower calculations. Jet propagation and medium response in the quark-gluon plasma is simulated with the Linear Boltzmann Transport (LBT) model. We calculate five observables of W+jets productions with jet quenching effect in Pb+Pb collisions: event distribution as a function of the vector sum of the lepton and jets $|\vec{p}_T^{Miss}|$, nuclear effects for tagged jet cross sections $I_{AA}$, azimuthal angle correlations $\Delta \phi_{jW}$, mean value of momentum imbalance $\langle x_{jW}\rangle$, average number of jets per W boson $R_{jW}$. The nuclear modifications of these 5 observables due to jet quenching in Pb+Pb relative to that in p+p collisions are discussed.