Here is a minimal working example on how to create such a block:
% Blocks without title in Beamer
\documentclass{beamer}
% set a theme to have nice and different blocks
\usetheme{Warsaw}
\begin{document}
\begin{frame}{Blocks without title}
% create the main block
\begin{exampleblock}{Title of the block}
This is the block with the main contents.
\end{exampleblock}
% create a other blocks, visually separated,
% that continues the contents of the previous block
\begin{exampleblock}{}
A natural but separated continuation of the previous block.
\end{exampleblock}
\begin{block}{}
This is a standard block without title.
\end{block}
\begin{alertblock}{}
This is an alert block without title.
\end{alertblock}
% since no title is specified, it will not appear the title band
\end{frame}
\end{document}
Compiling this code yields:

