  We study the capitulation of ideal classes in an infinite family of imaginary
bicyclic biquadratic number fields consisting of
  fields $k =Q(\sqrt{2pq}, i)$, where $i=\sqrt{-1}$ and $p\equiv -q\equiv1
\pmod 4$ are different primes. For each of the three quadratic extensions $K/k$
inside the absolute genus field $k^{(*)}$ of $k$, we compute the capitulation
kernel of $K/k$. Then we deduce that each strongly ambiguous class of $k/Q(i)$
capitulates already in $k^{(*)}$, which is smaller than the relative genus
field $\left(k/Q(i)\right)^*$.
