The cross-sections of psi {(2S)} meson production in proton-proton collisions at sqrt{s} =13text { TeV} are measured with a data sample collected by the LHCb detector corresponding to an integrated luminosity of 275text { pb} ^{-1} . The production cross-sections for prompt psi {(2S)} mesons and those for psi {(2S)} mesons from b-hadron decays ({psi {(2S)}} text{-from- }{b} ) are determined as functions of the transverse momentum, p_{mathrm {T}}, and the rapidity, y, of the psi {(2S)} meson in the kinematic range 2<p_{mathrm {T}} <20text { GeV/}c and 2.0<y<4.5. The production cross-sections integrated over this kinematic region are σ(promptψ(2S),13TeV)=1.430±0.005(stat)±0.099(syst)μb,σ(ψ(2S)-from-b,13TeV)=0.426±0.002(stat)±0.030(syst)μb.\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$\\begin{aligned} \\begin{aligned}&\\sigma (\\text{ prompt } {\\psi {(2S)}},13\\text { TeV})\\\\&\\quad =1.430\\pm 0.005\\text { (stat)} \\pm 0.099\\text { (syst)} \\,\\upmu \\text {b} ,\\\\&\\sigma ({\\psi {(2S)}} \\text{-from- }{b},13\\text { TeV})\\\\&\\quad =0.426\\pm 0.002\\text { (stat)} \\pm 0.030\\text { (syst)} \\,\\upmu \\text {b} . \\end{aligned} \\end{aligned}$$\\end{document}A new measurement of psi {(2S)} production cross-sections in pp collisions at sqrt{s}=7text { TeV} is also performed using data collected in 2011, corresponding to an integrated luminosity of 614text { pb} ^{-1} . The integrated production cross-sections in the kinematic range 3.5<p_{mathrm {T}} <14text { GeV/}c and 2.0<y<4.5 are σ(promptψ(2S),7TeV)=0.471±0.001(stat)±0.025(syst)μb,σ(ψ(2S)-from-b,7TeV)=0.126±0.001(stat)±0.008(syst)μb.\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$\\begin{aligned} \\begin{aligned}&\\sigma (\\text{ prompt } {\\psi {(2S)}},7\\text { TeV})\\\\&\\quad =0.471\\pm 0.001\\text { (stat)} \\pm 0.025\\text { (syst)} \\,\\upmu \\text {b} ,\\\\&\\sigma ({\\psi {(2S)}} \\text{-from- }{b},7\\text { TeV})\\\\&\\quad =0.126\\pm 0.001\\text { (stat)} \\pm 0.008\\text { (syst)} \\,\\upmu \\text {b} . \\end{aligned} \\end{aligned}$$\\end{document}All results show reasonable agreement with theoretical calculations.