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In this paper, we introduce $\phi$-$\delta$-primary elements in a compactlygenerated multiplicative lattice $L$ and obtain its characterizations. We provemany of its properties and investigate the relations between these structures.By a counter example, it is shown that a $\phi$-$\delta$-primary element of $L$need not be $\delta$-primary and found conditions under which a$\phi$-$\delta$-primary element of $L$ is $\delta$-primary.

On Generalization of $\displaystyle\delta$-Primary Elements in Multiplicative Lattices