Lone-pair expression is significantly influenced by geometric constraints in hybrid metal halides (HMHs). Two-dimensional (2D) HMHs possess reduced structural dimensionality, allowing for a wide range of off-center displacement of the metal center. However, the effect of lone-pair-induced off-center distortion on the geometric configuration of inorganic units, electronic properties, and exciton emissions in 2D HMHs remains unclear. In this study, 2D DMPMBr4 (DMP = N,N'-dimethylpiperazine) HMHs of group 14 elements (M = Ge, Sn, and Pb) are developed, exhibiting pronounced stereochemical activity of ns2 lone-pair electrons. Such 2D HMHs are chosen as a model system to demonstrate the influence of the stereochemical activity of ns2 lone-pair electrons on the geometric configuration of inorganic units, electronic properties, and exciton emissions. The off-center distortion D is introduced to describe the degree of lone-pair expression in these HMHs, and a quantitative relationship between the D and FE/STE emissions is established. When the D is reduced to less than 0.24, the off-center distortion of the units is sufficiently suppressed to limit the lone-pair expression, facilitating the excitonic transition from the STE state to the FE state upon compression. Substituting metal cations with those having more inactive ns2 lone-pair electrons exerts a similar effect to pressure in promoting the excitonic transitions in the DMPMBr4 series. This study uncovers the relationship between the stereochemical activity of ns2 lone-pair electrons and excitonic emissions, which could accelerate the development of HMHs with the desired optical properties.