  We study the bulk photovoltaic effect (BPVE) in Dirac and Weyl semimetals
under two-frequency light irradiation. We show that the BPVE emerges for
centrosymmetric Dirac and Weyl semimetals in the presence of light fields with
frequencies $\Omega$ and $2\Omega$. The BPVE under the two frequency drive
involves both shift current contribution independent of the carriers lifetime
$\tau$ and the injection current contribution $\propto \tau$. Our calculations
indicate that the photocurrent's direction, magnitude and type can be
dynamically controlled by tuning parameters of the driving fields. Furthermore,
we find that the tilt of the Dirac cone significantly affects the photocurrent,
particularly in mirror symmetry-lacking Weyl semimetals, leading to an
anisotropic optical response. These findings provide new insights into the
dynamic control of photocurrents in topological semimetals, offering promising
applications for optoelectronic devices.
