God must have a name, everything else does.
Our need for names is just the need for identity. The necessity for a vocalized sound representing that identity is just because of our crude method of communication and its subsequent language.
There are at least two reasons why God has no need for a name as we understand the term.
1. He no doubt has a vastly superior way of communicating with no need for vocal cords or air being forced through them to make sound.
2. Since his identity is unique, he has no need for a name to differentiate himself from others. He is God, our Father.
Just as your earthly father is unique to you. Most people address him as 'dad', not 'John Smith'.