This paper is a continuation of the paper [T.Y. Lee, Product variational measures and Fubini–Tonelli type theorems for the Henstock–Kurzweil integral, J. Math. Anal. Appl. 298 (2004) 677–692], in which we proved several Fubini–Tonelli type theorems for the Henstock–Kurzweil integral. Let f be Henstock–Kurzweil integrable on a compact interval ∏ i = 1 r [ a i , b i ] ⊂ R r . For a given compact interval ∏ j = 1 s [ c j , d j ] ⊂ R s , set T f ( ∏ j = 1 s [ c j , d j ] ) : = { g : f ⊗ g ∈ HK ( ∏ i = 1 r [ a i , b i ] × ∏ j = 1 s [ c j , d j ] ) } . We prove that if g ∈ T f ( ∏ j = 1 s [ c j , d j ] ) and ν is a finite signed Borel measure on ∏ j = 1 s [ c j , d j ) , then the function ( y 1 , … , y s ) ↦ g ( y 1 , … , y s ) ν ( ∏ j = 1 s [ c j , y j ) ) belongs to T f ( ∏ j = 1 s [ c j , d j ] ) . Moreover, this result cannot be improved.