  In this article, we extend the notion of the $F$-thresholds of ideals to the
$F$-thresholds for filtrations of ideals. The existence of $F$-thresholds of
filtrations are established for various types of filtrations. Moreover, various
necessary and sufficient conditions for finiteness of $F$-thresholds are given.
We also give some effective upper bounds of the symbolic $F$-thresholds. A
sufficient condition for symbolic $F$-splitting in terms of its symbolic
$F$-threshold is given. We compute the symbolic $F$-thresholds of various
determinantal ideals, $F$-K\"onig ideals, and many more.
