The nuclear modification factors of $${\mathrm {J}/\psi }$$ $J/\psi$ and $$\psi \text {(2S)}$$ $\psi \text{(2S)}$ mesons are measured in $$\text {PbPb}$$ $\text{PbPb}$ collisions at a centre-of-mass energy per nucleon pair of $$\sqrt{\smash [b]{s_{_{\text {NN}}}}} = 5.02\,\text {Te}\text {V} $$ $\sqrt{s_{{}_{\text{NN}}}}=5.02\text{TeV}$ . The analysis is based on $$\text {PbPb}$$ $\text{PbPb}$ and $$\mathrm {p}\mathrm {p}$$ $pp$ data samples collected by CMS at the LHC in 2015, corresponding to integrated luminosities of 464 $$\,\mu \mathrm {b}^{-1}$$ $\mu b^{-1}$ and 28 $$\,\text {pb}^\text {-1}$$ ${\text{pb}}^{\text{-1}}$ , respectively. The measurements are performed in the dimuon rapidity range of $$|y | < 2.4$$ $\left|y\right|<2.4$ as a function of centrality, rapidity, and transverse momentum ( $$p_{\mathrm {T}}$$ $p_T$ ) from $$p_{\mathrm {T}} =3$$ $p_T=3$ $${\,\text {Ge}\text {V}/}\text {c}$$ $\text{GeV}/\text{c}$ in the most forward region and up to 50 $${\,\text {Ge}\text {V}/}\text {c}$$ $\text{GeV}/\text{c}$ . Both prompt and nonprompt (coming from b hadron decays) $${\mathrm {J}/\psi }$$ $J/\psi$ mesons are observed to be increasingly suppressed with centrality, with a magnitude similar to the one observed at $$\sqrt{\smash [b]{s_{_{\text {NN}}}}} = 2.76\,\text {Te}\text {V} $$ $\sqrt{s_{{}_{\text{NN}}}}=2.76\text{TeV}$ for the two $${\mathrm {J}/\psi }$$ $J/\psi$ meson components. No dependence on rapidity is observed for either prompt or nonprompt $${\mathrm {J}/\psi }$$ $J/\psi$ mesons. An indication of a lower prompt $${\mathrm {J}/\psi }$$ $J/\psi$ meson suppression at $$p_{\mathrm {T}} > 25$$ $p_T>25$ $${\,\text {Ge}\text {V}/}\text {c}$$ $\text{GeV}/\text{c}$ is seen with respect to that observed at intermediate $$p_{\mathrm {T}}$$ $p_T$ . The prompt $$\psi \text {(2S)}$$ $\psi \text{(2S)}$ meson yield is found to be more suppressed than that of the prompt $${\mathrm {J}/\psi }$$ $J/\psi$ mesons in the entire $$p_{\mathrm {T}}$$ $p_T$ range.