We define an ultra filter of a \li algebra and give equivalent conditions for a filter to be ultra. We give a characterization of filters, and show that every subset of a \li algebra which has the finite multiplicative property can be extened to an ultra filter. For the generated filter $\langle F\rangle$, we provide another description of elements of $\langle F\rangle$. We prove that for a subset $F$ of a \li algebra $L$ having the finite multiplicative property, there exists an ultra filter of $L$ containing $F$.