HTML form action and onsubmit issues

Try

onsubmit="return checkRegistration()"

You should stop the submit procedure by returning false on the onsubmit callback.

<script>
    function checkRegistration(){
        if(!form_valid){
            alert('Given data is not correct');
            return false;
        }
        return true;
    }
</script>

<form onsubmit="return checkRegistration()"...

Here you have a fully working example. The form will submit only when you write google into input, otherwise it will return an error:

<script>
    function checkRegistration(){
        var form_valid = (document.getElementById('some_input').value == 'google');
        if(!form_valid){
            alert('Given data is incorrect');
            return false;
        }
        return true;
    }
</script>

<form onsubmit="return checkRegistration()" method="get" action="http://google.com">
    Write google to go to google...<br/>
    <input type="text" id="some_input" value=""/>
    <input type="submit" value="google it"/>
</form>