  Conserved currents of any spin $t>0$ built from symmetric massless gauge
fields of any integer spin $s \geq t$ in {4d} Minkowski space are found. In
particular, stress-energy tensor for a higher-spin field of any spin is
constructed. Analogously to spin-two stress (pseudo)tensor, currents considered
in this paper are not gauge invariant. However, they are shown to generate
gauge invariant conserved charges. Besides expected parity even HS currents, we
found unexpected parity odd currents that generate less symmetries than the
even ones. It is argued that these odd currents unlikely admit a consistent
$AdS$ deformation.
