Discharge behavior of lithium nano-titanate samples synthesized by solid-state methods from titania (anatase) and various lithium compounds has been studied. The shape of discharge curves was shown to change along with increasing current. This change was explained with due account for the model of heterogeneous lithium nano-titanate grain. It is found that the dependence of discharge capacity on current density does not obey to common Peukert equation but consists of two segments. In any cases the exponent in the Peukert equation does not exceed 0.2.