Many real-world phenomenons are imprecise, vague, and concrete. To model these real-world problems have two consequences i.e., one is to representthe real problem in the precise form and the other is due to more complexity in understanding the real-world problem. So, to specify these types of phenomena fuzzy sets were developed. Traditionally, dynamic equations on time scales were developed by using the delta derivative of a function so far. Later, using the concept of backward jump operator in the definition of time scales and by using fuzzy concept, initiated fuzzy nabla dynamic equations on time scales.