\documentclass{jarticle}
\usepackage{ccaption}

\begin{document}

\listoftables

\begin{table}[htbp]
\caption{分割した表}
\centering\begin{tabular}{|c|c|} 
\hline
  a & b \\ \hline
  c & d \\
\hline
\end{tabular}
\end{table}

\begin{table}[htbp]
\contcaption{上の続きの表}
\centering\begin{tabular}{|c|c|}
\hline
  1 & 2 \\ \hline
  3 & 4 \\
\hline
\end{tabular}
\end{table}

\end{document}
