  Let $F$ be an Ikeda lift, $\lambda_F(m)$ be the eigenvalue corresponding to
the Hecke operator $T(m)$. We show that $\lambda_F(p)$ is positive for all
large enough primes $p$. This is proved for Ikeda lifts of all genus. The
second result is specific for genus 4 Ikeda lifts. If $F$ is genus 4 Ikeda
lift, we show that, given $r$ there exists a constant $c_r$ such that
$\lambda_F(p^r)$ is positive for all $p>c_r$.
