We employ ab initio simulations based on density functional theory (DFT) to calculate the electronic transport coefficients (electrical conductivity, thermal conductivity, and thermopower) of molybdenum over a broad range of thermodynamic states. By comparing to available experimental data, we show that DFT is able to describe the desired transport properties of this refractory metal with high accuracy. Most noteworthy, both the positive sign and the quantitative values of the thermopower of solid molybdenum are reproduced very well. We calculate the electrical and thermal conductivity in the solid and the fluid phase between 1000 K and 20 000 K and a wide span in density and develop empirical fit formulae for direct use in practical applications, such as magnetohydrodynamics simulations. The influence of thermal expansion in conductivity measurements at constant pressure is also discussed in some detail.