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