when i enter to the http://domain.com/zenphoto/
here is what i got

Zenphoto Error
MySQL Query ( SELECT name, value FROM zp_options ) Failed. Error: Table 'zen-oktay.zp_options' doesn't exist
It looks like your zenphoto tables haven't been created. You may need to run the setup script.

when i run the setup script.

PHP version 4.1.0 or greater
PHP GD support
PHP mySQL support
zp-config.php file
mySQL setup in zp-config.php
connect to MySQL
MySQL version 3.2.3 or greater
connect to the database zen-oktay
.htaccess file (RewriteEngine is ON)
.htaccess RewriteBase
albums folder
cache folder

All of theese checks are green

but there is an error on the bottom like that
' DB Error, could not list tables MySQL Error: You have an error in your SQL syntax; check the manual that corresponds to your MySQL server version for the right syntax to use near '-oktay LIKE 'zp_%'' at line 1 '

how can i solve this problem?

and when enter the phpmyadmin page
here is what i got

zen(0)
No tables found in database.

how can i solve this problem?

I think your db name does not match your settings:
MySQL Query ( SELECT name, value FROM zp_options ) Failed. Error: Table 'zen-oktay.zp_options'
indicates that your db is called zen-oktay, but your second post indicates that it in fact is called simply "zen".
Check your mysql data in your zp-config.php file within zp-core.

You need to get the nightly build. The problem is with special characters in the database name. This is fixed in the nightly build.

I'm having this same error pop up after I click the "Go" link. What is a nightly build?

The nightly build is the version we are working currently on to become zenphoto 1.1.4. It contains already many bugfixes: www.zenphoto.org

acrylian, for ZenPhoto to work for me, I should wait until version 1.1.4 is finished and install it?

The nightly build is quite stable at the moment. You can download and install it, it should work just fine for you.

Should I delete all other files and perform a fresh install with this(zenphoto-2008-01-23-trunk.zip) file?

That is always best. Be sure to note your mysql configuration information first as you will be asked for it by setup.