This study introduces the concepts of lacunary 𝐼σ-statistical convergence of complex uncertain sequences: lacunary 𝐼𝜎-statistical convergence almost surely (Sθ( 𝐼𝜎).a.s.), lacunary 𝐼𝜎-statistical convergence in measure, lacunary 𝐼σ-statistical convergence in mean, lacunary 𝐼𝜎-statistical convergence in distribution and lacunary 𝐼𝜎-statistically convergence uniformly almost surely (Sθ( 𝐼σ).u.a.s). In addition, decomposition theorems and relationships among them are discussed.