  In de Sitter (dS) special relativity (SR), two kinds of conserved currents
are derived. The first kind is a 5-dimensional (5d) dS-covariant angular
momentum (AM) current, which unites the energy-momentum (EM) and 4d AM current
in an inertial-type coordinate system. The second kind is a dS-invariant AM
current, which can be generalized to a conserved current for the coupling
system of the matter field and gravitational field in dS gravity. Moreover, an
inherent EM tensor is predicted, which comes from the spin part of the
dS-covariant current. All the above results are compared to the ordinary SR
with Lorentz invariance.
