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Abstract Inspired by the recent hints of lepton flavor universality violation in $$b\rightarrow s\ell \ell $$ b→sℓℓ and $$b\rightarrow c\ell \nu $$ b→cℓν transitions, we study lepton flavor violating exclusive $$\Lambda _b\rightarrow \Lambda \ell _1^+\ell _2^-$$ Λb→Λℓ1+ℓ2- ($$\ell _1\ne \ell _2$$ ℓ1≠ℓ2 ) decay, which is forbidden in the Standard Model. Starting from a general effective Hamiltonian for a $$b\rightarrow s\ell _1^+\ell _2^-$$ b→sℓ1+ℓ2- transition that includes vector and axial-vector operators, and scalar and pseudo-scalar operators, we derive a two-fold decay distribution of $$\Lambda _b\rightarrow \Lambda \ell _1^+\ell _2^-$$ Λb→Λℓ1+ℓ2- . The distribution helps us to construct the differential branching ratio and the lepton-side forward–backward asymmetry, which are studied in a vector leptoquark model. The parameter space of the vector leptoquark model is constrained by low energy observables.