  We present new solution of the the connection problem for local solutions to
the general Heun equation. Our approach is based on the symmetric form of the
Heun's differential equation \cite{Fiziev14,Fiziev16} with four different
regular singular points $z_{1,2,3,4}$. The four special regular points in the
complex plane: $Z_{123},Z_{234},Z_{341},Z_{412}$ are the centers of the
circles, defined by the different triplets $\{z_k,z_l,z_m\}$ with corresponding
different indexes and play fundamental role, since the coefficients of the
connection matrix can be expressed using the values of local solutions of the
general Heun's equation at these points. A special case when all coefficients
can be calculated using only one of the points $Z_{klm}$ is also considered.
