In this work, we study the resonance contributions to the decay $$B^-\rightarrow K^+K^-\pi ^-$$
B
-
→
K
+
K
-
π
-
, which is dominated by the scalar $$f_0(980), K_0^*(1430)$$
f
0
(
980
)
,
K
0
∗
(
1430
)
, vector $$\rho (1450), \phi (1020), K^*(892)$$
ρ
(
1450
)
,
ϕ
(
1020
)
,
K
∗
(
892
)
and tensor $$f_2(1270)$$
f
2
(
1270
)
resonances. The three-body decay is reduced to various quasi two-body decays, where the B meson firstly decays into a resonance and a pion or a kaon, subsequently the resonance decays into the other two final-state mesons. The quasi two-body decays are calculated within the light-cone sum rule approach utilizing the leading twist B meson light-cone distribution amplitudes. Finally, the decay branching fraction contributions from each resonance is calculated. Some of them are compatible with experiment or previous theoretical works. Including the effects of non-resonant and final-state interactions, we also evaluate the total branching fraction.