We consider the nonautonomous neutral differential equation with delay \begin{gather*} &eft[ p(t)\Big(q(t)\big(x(t)+\beta_{1} x(t-r_{1})\big)'\Big)'\right] ^{ rime }+a(t)\big(x^{rime rime}(t)+\beta_{2} x''(t-r_{2})\big) &+b(t)\big(x^{rime }(t)+\beta_{3} x'(t-r_{3})\big)+c(t)f(x(t-igma))=e(t, x, x', x''). \end{gather*} Using the method of Lyapunov, we give conditions for the uniform asymptotic stability and uniform boundedness and square integrability of solutions for the considered system. Our theorems generalize and extend some related results known in the literature. Example is given to show our results.