In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators
H
α
,
φ
on the Dunkl-type homogeneous weighted Herz spaces
K
̇
α
,
q
β
,
p
ℝ
and Dunkl Herz-type Hardy spaces
H
K
̇
α
,
q
β
,
p
,
N
ℝ
. We have determined simple sufficient conditions for these operators to be bounded on these spaces. As applications, we provide necessary and sufficient conditions for generalized Cesàro operator to be bounded on
K
̇
α
,
q
β
,
p
ℝ
and Hardy inequality for
K
̇
α
,
q
β
,
p
ℝ
.