You just need to use the optional argument to \twocolumn; you can also set \columnsep and \columnseprule to the desired values.
In the example I have removed the unused tabularx package (add it if needed) and also the obsolete package ae. If you don't have the CM-Super font package and the printout appears fuzzy, add \usepackage{lmodern}.
\documentclass[a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage{CV}
\usepackage[colorlinks]{hyperref}
\hypersetup{linkcolor=blue,citecolor=blue,filecolor=black,urlcolor=blue}
\setlength{\textwidth}{5in}
\setlength{\textheight}{660pt}
\setlength{\oddsidemargin}{42pt}
\setlength{\topmargin}{-20pt}
\setlength{\columnseprule}{0.4pt}
\setlength{\columnsep}{1cm}
\newcommand{\ingreen}[1]{{\color{blue}#1}}
\pagestyle{empty}
\begin{document}
\twocolumn[%
\begin{center}
\huge\textsc{Curriculum Vitae}
\textsc{Name}
\end{center}
]
\section{Contact Information}
\begin{flushleft}
Email: \ingreen{abc@gmail.com} \\
Skype: abc\\
Mobile: +00-000-1234567 \\
Phone: +00-00-1234567
\end{flushleft}
\section{Objective}
\begin{flushleft}
To become a good researcher in my field.
\end{flushleft}
\section{Education}
\begin{CV}
\item[\ingreen{August 2007--August 2009}]
\item[Master(Biochemistry)]
\item[University Name]
\item[City, Country]
\item[Area: Biochemistry]
\item[\ingreen{August 2002--September 2006}]
\item[BS(Hons)]
\item[University Name]
\item[City, Country]
\item[Area: Biology]
\end{CV}
\section{Research Work}
\begin{flushleft} My Master degree thesis is on \emph{Research}.
\end{flushleft}
\section{Technical Expertise}
\noindent
\begin{itemize}
\item MATLAB, Mathematica, C/C++, \LaTeX, \LaTeX Draw, Mayura Draw, MS Office
\end{itemize}
\section{Area of Interest}
\noindent
\section{Hobbies $\&$ Sports}
\noindent
\begin{itemize}
\item Studying Books, Cricket, Watching Sports Channels
\item Music, Movies, Photography
\end{itemize}
\section{References}
\end{document}

\setlength{\columnseprule}{1pt}in preamble. – Jesse Jun 29 '14 at 04:56pagestylecommand\begin{minipage}{\textwidth} \hfill \includegraphics[scale=0.2]{example-image-A} \end{minipage}– Jesse Jul 03 '14 at 05:14