  The bound kaon approach to the strangeness in the Skyrme model is applied to
investigating the possibility of deeply bound $ppK^-$ states. We describe the
$ppK^-$ system as two-Skyrmion around which a kaon field fluctuates. Each
Skyrmion is rotated in the space of SU(2) collective coordinate. The rotational
motions are quantized to be projected onto the spin-singlet proton-proton
state. We derive the equation of motion for the kaon in the background field of
two Skyrmions at fixed positions. From the numerical solution of the equation
of motion, it is found that the energy of $K^-$ can be considerably small, and
that the distribution of $K^-$ shows molecular nature of the $ppK^-$ system.
For this deep binding, the Wess-Zumino-Witten term plays an important role. The
total energy of the $ppK^-$ system is estimated in the Born-Oppenheimer
approximation. The binding energy of the $ppK^-$ state is $B.E.\simeq 126$ MeV.
The mean square radius of the $pp$ subsystem is $\sqrt{< r_{pp}^2>}\simeq 1.6$
fm.
