  We study the effect of the Howe correspondence on Harish-Chandra series for
type I dual pairs ($\mathbf{U}_m(\mathbb{F}_q),\mathbf{U}_n(\mathbb{F}_q$)) and
($\mathbf{Sp}_{2m}(\mathbb{F}_q),\mathbf{O}^\pm_{2n}(\mathbb{F}_q)$), where
$\mathbb{F}_q$ denotes the finite field with $q$ elements ($q$ odd). We use the
Lusztig correspondence to reduce the study of the Howe correspondence between
Harish-Chandra series to a correspondence between unipotent Harish-Chandra
series. Finally, we provide two applications of these results.
