The aim of this paper is to establish a general form of Kummer’s second-type summation theory. By defining a new form for the divided of the Pochhammer symbol d + i n / d n , we can develop a general form of Kummer’s second-type summation theorem as e − x / 2 F 2 2 a , i + d ;       x b + l , d ;   in the form of a sum of e − x / 2 F 1 1 a ;         x b + i ;     for i , l = 0,1,2 , … , Then, some properties of the generalized Kummer’s second-type summation theorem can yield a number of known and novel results.