  Theorem converse to Jordan's curve theorem says that {\it if a compact set
$K$ has two complementary domains in $R^{2}$, from each of which it is at every
point accessible, it is a simple closed curve}.
  We show that the requirement of this theorem that {\it all} points of $K$
were accessible from {\it both} complementary domains is surplus and prove one
generalization of this theorem.
