By adopting the first-principle methods based on the density functional theory, we studied the structural, electronic, and magnetic properties of defected monolayer WSe
2
with vacancies and the influences of external strain on the defected configurations. Our calculations show that the two W atom vacancies (V
W2
) and one W atom and its nearby three pairs of Se atom vacancies (V
WSe6
) both induce magnetism into monolayer WSe
2
with magnetic moments of 2 and 6 μ
B
, respectively. The magnetic moments are mainly contributed by the atoms around the vacancies. Particularly, monolayer WSe
2
with V
W2
is half-metallic. Additionally, one Se and one W atom vacancies (V
Se
, V
W
), two Se atom vacancies (V
Se-Se
), and one W atom and the nearby three Se atoms on the same layer vacancy (V
WSe3
)-doped monolayer WSe
2
remain as non-magnetic semiconducting. But the impure electronic states attributed from the W d and Se p orbitals around the vacancies locate around the Fermi level and narrow down the energy gaps. Meanwhile, our calculations indicate that the tensile strain of 0~7% not only manipulates the electronic properties of defected monolayer WSe
2
with vacancies by narrowing down their energy gaps, but also controls the magnetic moments of V
W
-, V
W2
-, and V
WSe6
-doped monolayer WSe
2
.