Directionally solidified B₄C–TiB₂ composites were prepared by a Floating Zone method. TiB₂ phases in a rod shape were continuously connected in the B₄C matrix. The c-axes of TiB₂ and B₄C phases were perpendicular and tilted 22^° to the growth direction, respectively. The (101) and (1\\bar20) planes of the B₄C were in parallel to the (001) and (100) planes of TiB₂, respectively. The electrical conductivity of the composite parallel to the growth direction (σ_||) was greater than monolithic B₄C by a factor of 100 to 1000. The thermal conductivity of the composite parallel to the growth direction (κ_||) was about one and a half times as high as that of B₄C. The anisotropy of electrical and thermal conductivity were basically explained by a mixing law using the values of B₄C and TiB₂. The microhardness of the composite was almost the same as that of B₄C. The electric discharge machining of the composite was possible owing to the enhancement of electrical conductivity.