Summary: The \(K\)-stability of a class of Hopfield neural networks with delays \[ \begin{gathered} C_i{du_i(t)\over dt}= -{u_i(t)\over R_i}+ \sum^n_{j=1} \widetilde T_{ij} f_j(u_j(t- \tau))+ I_i,\\ u_i(s)= \varphi_i(s),\quad s\in [-\tau,0],\quad i= 1,2,\dots, n,\end{gathered} \] is discussed. Some sufficient delay-dependent conditions which guarantee \(K\)-stability and \(K\)- exponentially stability are obtained by using inequality techniques and some properties of differential equations. Finally, an illustrative example is presented.