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Let $\bold{\Phi}=(\phi_n)$ be a Musielak-Orlicz function, $X$ be a realBanach space and $A$ be any infinite matrix. In this paper, a generalizedvector-valued Musielak-Orlicz sequence space $l_{\bold {\Phi}}^{A}(X)$ isintroduced. It is shown that the space is complete normed linear space undercertain conditions on the matrix $A$. It is also shown that$l_{\bold{\Phi}}^{A}(X)$ is a $\sigma$- Dedikind complete whenever $X$ is so.We have discussed some geometric properties, namely, uniformly monotone,uniform Opial property for this space. Using the sequence of $s$-number (in thesense of Pietsch), the operators of $s$-type $l_{\bold{\Phi}}^{A}$ and operatorideals under certain conditions on the matrix $A$ are discussed.

On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals