It is predicted that the electrical resistivity tensor ρµν becomes anomalous and anisotropic near the antiferromagnetic critical point TN due to the critical scattering of conduction electrons by the localized spins. If |Kµ|, |Kν| ≫κ, where K is one half of the magnetic reciprocal lattice vector and κ is the inverse of the correlation length of the spin fluctuations, then the temperature derivative of the electrical resistivity (dρµν/dT) has an anomaly proportional to ε- (α+ γ-1), where ε= |T - TN|/TN and α and γ are the critical indices of the specific heat and the magnetic susceptibility, respectively. In typical antiferromagnets, α= 0 and γ= 4/3. Below TN, however, there appears a stronger anomaly of ε-(α+ γ)/2 due to the long range order. Thus the electrical resistivity turns out to have a peak near TN, whose maximum locates below TN and whose temperature derivative negatively diverges at TN. If |Kµ|, |Kν| ≪κ, then (dσµν/dT) must have the same anomaly as in the ferromagnetic metals, and thus would have a positive logarithmic divergence both above and below TN. We also found that if |Kµ|, |Kν|≫κ, then the thermal resistivity tensor Wµν shows the same anomaly as the electrical resistivity tensor ρµν.