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