In this article, we obtain some operator mean inequalities of sectorial matrices involving operator monotone functions. Among other results, it is shown that if $A,B\in {\mathbb{M}}_n(\mathbb{C})$ are such that $W(A),W(B)\subseteq S_{\alpha }$, $f,g,h\in \mathfrak{m}$ are such that $g^{\mathrm{\prime }}(1)=h^{\mathrm{\prime }}(1)=t$ for some $t\in (0,1)$ and $0<m{I}_n\le \mathrm{\Re }A,\mathrm{\Re }B\le M{I}_n$, then

$$\begin{array}{r}\mathrm{\Re }(\mathrm{\Phi }(f(A)){\sigma }_h\mathrm{\Phi }(f(B)))\le {\sec }^4(\alpha )K\mathrm{\Re }\mathrm{\Phi }(f(A{\sigma }_{g}B)),\end{array}$$

where $M,m$ are scalars and $\mathfrak{m}$ is the collection of all operator monotone function $\phi :(0,\mathrm{\infty })\to (0,\mathrm{\infty })$ satisfying $\phi (1)=1$. Moreover, we refine a norm inequality of sectorial matrices involving positive linear maps, which is a result of Bedrani, Kittaneh and Sababheh.