We construct cosmological models for dark energy based on Lyra’s geometry for the Bianchi-I space-time to understand the evolution of the universe. The specific choice of the deceleration parameter $$q=-\frac{\alpha _1}{t^2}+\alpha _2-1$$
q
=
-
α
1
t
2
+
α
2
-
1
is used to determine the exact solutions of the field equations in Lyra geometry. The parameter $$\alpha _1$$
α
1
has a dimension equal to the square of time. Further, we have discussed two cosmological models depending on the parameter $$\alpha _2$$
α
2
. Several physical parameters are obtained and the results in both the models are analyzed and presented graphically for the analysis of the results.