We construct the grand partition function of the system of chiral fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Making use of the Abel-Plana formula, these thermodynamic quantities can be expanded as series with respect to a dimensionless variable b=2eB/T2. We find that the series expansions of the energy density, pressure, magnetization intensity, and magnetic susceptibility contain a singular term with lnb2, while the particle number density, entropy density, and heat capacity are power series of b2. The asymptotic behavi...