Lord Krishna is the Supreme Personality of Godhead, as described by the Vedas. The Vedas are the eternal truths of life originating in India that have been passed down from time immemorial originally through oral reception, and more recently through written scripture in the Sanskrit language. Though there are many different religions in the world each having their own name for God, God is still one. There isn’t one God for Hindus and another for Christians and Jews.
Even in the Vedic literatures, God has many names and many different incarnations and expansions. Lord Krishna is the original of all other expansions. In Sanskrit, the word Krishna means “all-attractive.” Krishna is the most beautiful, powerful, famous, wealthy, wise and renounced. Since He possesses all these opulences at the same time and in full, He is defined as the Supreme Personality of Godhead.
The Hare Krishna Movement 