This may have different causes. One of them is described in issue 5646, which is related to going back and forward in the browser history.
In such cases it normally requires a browser restart to work again.
Note that Firebug up to version 1.12 is based on an old debugger API exposed by Firefox called JSD, which is unmaintained and buggy. Since version 2.0 Firebug uses a new debugger API, which fixes this problem.