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As a hypothetic particle, a sterile neutrino can exist in types of new physics models. In this work by investigating flavor violating semileptonic and leptonic decays of
K
,
D
, and
B
mesons induced by the GeV scale sterile neutrino, we explore its allowed regions in parameter space. Analytically, we derive branching fractions of semileptonic decay
M
h
+
→
M
l
+
ℓ
1
+
ℓ
2
−
and leptonic decay
M
0
→
ℓ
1
−
ℓ
2
+
, including the contribution from a new box diagram contribution due to the massive sterile neutrino. Imposing its mass ranges, we numerically analyze the active-sterile neutrino mixings in corresponding regions. We find that when the sterile neutrino mass is located in between pion and kaon mass,
K
+
→
π
+
e
±
μ
∓
gives the strongest constraint while
B
+
→
π
+
e
±
μ
∓
provides the dominated constraint when its mass in between of kaon and
B
meson. If the sterile neutrino is even heavier than
B
mesons, the LHCb
B
s
0
→
μ
±
e
∓
results gives the strongest constraint.