Abstract The production cross-sections of B mesons are measured in pp collisions at a centre-of-mass energy of 7 TeV, using data collected with the LHCb detector corresponding to a integrated luminosity of 0.36 fb−1. The B +, B 0 and $ B_s^0 $ mesons are reconstructed in the exclusive decays B + → J/ψK +, B 0 → J/ψK *0 and $ B_s^0\to {J \left/ {{\psi \phi }} \right.} $ , with J/ψ → μ + μ −, K *0 → K +π− and ϕ → K + K − . The differential cross-sections are measured as functions of B meson transverse momentum p T and rapidity y, in the range 0 < p T < 40 GeV/c and 2.0 < y < 4.5. The integrated cross-sections in the same p T and y ranges, including charge-conjugate states, are measured to be $ \begin{array}{*{20}{c}} {\sigma \left( {pp\to {B^{+}}+X} \right)=38.9\pm 0.3\left( {\mathrm{stat}.} \right)\pm 2.5\left( {\mathrm{syst}.} \right)\pm 1.3\left( {\mathrm{norm}.} \right)\upmu \mathrm{b},} \hfill \\ {\sigma \left( {pp\to {B^0}+X} \right)=38.1\pm 0.6\left( {\mathrm{stat}.} \right)\pm 3.7\left( {\mathrm{syst}.} \right)\pm 4.7\left( {\mathrm{norm}.} \right)\upmu \mathrm{b},} \hfill \\ {\sigma \left( {pp\to B_s^0+X} \right)=10.5\pm 0.2\left( {\mathrm{stat}.} \right)\pm 0.8\left( {\mathrm{syst}.} \right)\pm 1.0\left( {\mathrm{norm}.} \right)\upmu \mathrm{b},} \hfill \\ \end{array} $ where the third uncertainty arises from the pre-existing branching fraction measurements.