In order to probe a possible time variation of the fine-structure constant ($$\alpha $$
α
), we propose a new method based on Strong Gravitational Lensing and Type Ia Supernovae observations. By considering a class of runaway dilaton models, where $$\frac{\Delta \alpha }{\alpha }= - \gamma \ln {(1+z)}$$
Δ
α
α
=
-
γ
ln
(
1
+
z
)
, we obtain constraints on $$\frac{\Delta \alpha }{\alpha }$$
Δ
α
α
at the level $$\gamma \sim 10^{-2}$$
γ
∼
10
-
2
($$\gamma $$
γ
captures the physical properties of the model). Since the data set covers the redshift range $$0.075 \le z \le 2.2649$$
0.075
≤
z
≤
2.2649
, the constraints derived here provide independent bounds on a possible time variation of $$\alpha $$
α
at low, intermediate and high redshifts.