  We consider the existence and stability of solitons in a $\chi^{(2)}$
coupler. Both the fundamental and second harmonics undergo gain in one of the
coupler cores and are absorbed in the other one. The gain and losses are
balanced creating a parity-time (${\cal PT}$) symmetric configuration. We
present two types of families of ${\cal PT}$-symmetric solitons, having equal
and different profiles of the fundamental and second harmonics. It is shown
that gain and losses can stabilize solitons. Interaction of stable solitons is
shown. In the cascading limit the model is reduced to the ${\cal PT}$-symmetric
coupler with effective Kerr-type nonlinearity and balanced nonlinear gain and
losses.
