<p>Phonon-limited electron mobility has been theoretically studied for a recently synthesized carbon allotrope, two-dimensional biphenylene. Quasi-one-dimensional structures corresponding to those obtained experimentally have been calculated. It has been found that the mobility increases linearly with the ribbon width. The strong anisotropy of the electron conductivity and mobility has been observed in two-dimensional biphenylene. Specifically, the mobility is 102 cm²/(V s) in the crystallographic direction corresponding to one-dimensional structures, while it is an order of magnitude higher in the perpendicular direction. The calculations have been performed using the nonorthogonal tight-binding method.</p>