In this article, we introduce and study the concept of $\phi$-2-absorbing quasi primary ideals in commutative rings. Let $R\ $be a commutative ring with a nonzero identity and $L(R)$ be the lattice of all ideals of $R.\ $Suppose that $\phi:L(R)\rightarrow L(R)\cup\left\{ \emptyset\right\} $ is a function. A proper ideal $I\ $of $R\ $is called a $\phi$-2-absorbing quasi primary ideal of $R\ $if $a,b,c\in R$ and whenever $abc\in I-\phi(I),$ then either $ab\in\sqrt{I}\ $or $ac\in\sqrt{I}\ $or $bc\in\sqrt{I}.\ $In addition to giving many properties of $\phi$-2-absorbing quasi primary ideals, we also use them to characterize von Neumann regular rings.