As we known

H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper

we give necessai-y and sufficient conditions for a point in a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to be an H-point. we give necessary and sufficient conditions for a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to have the Kadec-Klee prope1ty

the uniform Kadec- Klee prope1ty and to be nearly uniformly convex.