Kompozer is available in the Debian Wheezy (stable) repo.
I just downloaded the tar.gz from kompozer's website (http://kompozer.net/). When you extract the file, you should find a folder called "kompozer." Open the folder and find a file also called "kompozer." Right click on that file and go to "properties" then to "permissions." Make sure the file is marked executable and click "OK." Now double click on that same file called "kompozer," and if it asks, click "execute." Hopefully it runs for you.
I was hoping that was going to work for you. What version of Kompozer did you download? I tested it with version 0.8b3. Also, have you installed update pack 6 yet? I wonder if there's a dependency issue. My troubleshooting abilities are limited, so, hopefully someone more knowledgeable comes by.
When I open a terminal in that folder and type kompozer the window reads like this:
The program 'kompozer' is currently not installed. To run 'kompozer' please ask your administrator to install the package 'kompozer'
kompozer: command not found.
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