We show that given a closed
n
n
-manifold
M
M
, for a Baire-generic set of Riemannian metrics
g
g
on
M
M
there exists a sequence of closed geodesics that are equidistributed in
M
M
if
n
=
2
n=2
; and an equidistributed sequence of embedded stationary geodesic nets if
n
=
3
n=3
. One of the main tools that we use is the Weyl law for the volume spectrum for
1
1
-cycles, proved by Liokumovich, Marques, and Neves [Ann. of Math. (2) 187 (2018), pp. 933–961] for
n
=
2
n=2
and by Guth and Liokumovich [Preprint, arXiv:2202.11805, 2022] for
n
=
3
n=3
. We show that our proof of the equidistribution of stationary geodesic nets can be generalized for any dimension
n
≥
2
n\geq 2
provided the Weyl Law for
1
1
-cycles in
n
n
-manifolds holds.