This is just a modification of the user Gonzalo Medino's answer. To get bidi tabbing, just use bidi package and instead running pdflatex or latex, run xelatex on your document:
\documentclass{article}
\usepackage{bidi}
\begin{document}
\setRTL % to typeset tabbing in RTL mode
\begin{tabbing}
Programa\quad \= : \= \TeX \\
Autor \> : \> Donald Knuth \\
Manuales \> : \\
\qquad\= The Advanced \TeX\ Book\quad\= David Salomon\quad\=
Springer-Verlag\kill \\
\>\textsf{T\a'itulo} \>\textsf{Autor} \>\textsf{Editorial}\\
\>The \TeX Book \>Donald Knuth \>Addison-Wesley\\
\>The Advanced \TeX\ Book \>David Salomon \>Springer-Verlag
\end{tabbing}
\begin{tabbing}
Fila 1 Columna 1\hspace{2cm}\= Fila 1 Columna 2 \\
\> Fila 2 Columna 2\hspace{1.8cm}\= Fila 2 Columna 3 \+\+ \\
Fila 3 Columna 3 \- \\
Fila 4 Columna 2 \> Fila 4 Columna 3 \\
\< Fila 5 Columna 1 \> Fila 5 Columna 2 \> Fila 5 Columna 3 \\
Fila 6 Columna 2 \> Fila 6 Columna 3 \- \\
Fila 7 Columna 1 \> Fila 7 Columna 2 \> Fila 7 Columna 3 \\
Fila 8 Columna 1 \' Derecha \\
Fila 9 Columna 1 \> y \' Fila 9 Columna 2 \\
\pushtabs
\quad\= Fila 10 Columna nueva 1\hspace{2.5cm}\= Fila 10
Columna nueva 2 \\
\> Fila 11 Columna nueva 2
\> Fila 11 Columna nueva 2 \\
\poptabs
Fila 12 Columna antig\"ua 1 \> Fila 12 Columna antig\"ua 2
\end{tabbing}
\end{document}
As you can see, the output is perfect for RTL:

Even if you want to use tabu package, that package also work perfectly with bidi package. Try:
\documentclass{article}
\usepackage{xcolor}
\usepackage{tabu}
\usepackage{bidi}
\thispagestyle{empty}
\begin{document}
\setRTL % to typeset tabu environment in RTL mode
\taburulecolor |gray!50|{red}\arrayrulewidth=1pt
{
\taburulecolor|yellow|{blue}\tabulinesep=1mm
\begin{tabu}{|X|X|} \hline
Here the lines & are drawn in blue \\ \taburulecolor{green} \hline
But starting from here & they are green coloured ! \\ \hline
And now a nested \textsf{tabu} & \begin{tabu}{|X|} \firsthline\hline
guess what colour \\ \hline
is used for rules ?\\ \lasthline\hline
\end{tabu} \\ \hline
\end{tabu}
}
\end{document}
and here is the perfect bidi tabu:

tabtobut it doesn't work with Hebrew either. Does anybody know a tabbing/tabto/tabulator environment for bi-directional text? – white_gecko May 27 '12 at 22:50bidipackage inxelatex, then you can get perfect bidi tabular. – Vafa Khalighi Jun 11 '12 at 6:03