Let $f$ and $g$ be distributions in $\mathcal D'$ and let \[ f_n(x)=f(x)au_n(x),\quad g_n(x)=g_n(x)au_n(x) \] where $\tau_n(x)$ is a certain function which converges to the identity func as $n$ tends to infinity. Then the neutrix convolution product $f\boxast q$ is defined as the neutrix limit of the sequence $\{F_n*g_n\}$, provided the limit $h$ exists in the sense that \[ N-lim_{no ıfty}angle f_n-g_n,hi\rangle=angle h,hi\rangle \] for all $\phi$ in $\mathcal D$. The neutrix convolution products $x^\lambda_-\boxast x^s_+$ for $\lambda\neq 0,\pm1,\pm2,\dots$ and $s=0,1,2,\dots$ are evaluated, from which other neutrix convolution products are deduced.