Assuming that you want to suppress the chapter name from the header lines of all pages (other than pages which contain the chapter title, which are set in a different pagestyle anyway), you could use the following code. It relies on the etoolbox package and its \patchcmd macro.
\documentclass[11pt,a4paper,twoside]{book}
\usepackage{etoolbox}
\makeatletter
\if@twoside
\patchcmd{\ps@headings}%
{\@evenhead{\thepage\hfil\slshape\leftmark}}%
{\@evenhead{\thepage\hfil}}{}{}
\fi
\patchcmd{\ps@headings}%
{\@oddhead{{\slshape\rightmark}\hfil\thepage}}%
{\@oddhead{\hfil\thepage}}{}{}
\makeatother
\pagestyle{headings}
\usepackage{lipsum}
\begin{document}
\chapter{Some title}
\lipsum[1-30]
\end{document}
If the twoside option is in effect, LaTeX will typeset the page numbers on the right-hand side of the header line on odd-numbered pages and on the left-hand side of the header line on even-numbered pages. If the oneside document option is set, all page numbers will be set on the right-hand side of the header line (and, of course, without the chapter name on the left-hand side of the header lines).
By the way, this code works with both the book (default document option setting: twoside) and the report (default document option setting: oneside) document classes.
\thispagestyle{empty}is the easiest solution. Would you please be more precise? – egreg Jun 12 '12 at 21:24