  We classify irreducible polar foliations of codimension $q$ on quaternionic
projective spaces $\mathbb H P^n$, for all $(n,q)\neq(7,1)$. We prove that all
irreducible polar foliations of any codimension (resp. of codimension one) on
$\mathbb H P^n$ are homogeneous if and only if $n+1$ is a prime number (resp.
$n$ is even or $n=1$). This shows the existence of inhomogeneous examples of
codimension one and higher.
