Let R be a commutative ring with $1{ eq}0$. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing primary ideal of R if whenever a, b, $c{in}R$ and $0{ eq}abc{in}I$, then $ab{in}I$ or $ac{in}sqrt{I}$ or $bc{in}sqrt{I}$. A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given.