For most people, dreaming about whales is a pleasant experience. These huge water dwelling mammals may be symbolic of the connection that exists between the unconscious and conscious mind. They may represent the dreamer’s level of awareness, perceptiveness, and intuition. Some think that they represent our emotional power or are messengers from the spiritual realms.
If the ocean waters were turbulent, and the whale in your dream was unpredictable or on the attack, considers the emotional environment in your every day life. Under such unpleasant dream circumstances, these large animals may represent overwhelming emotional or psychological issue and problem. See also: Dolphin... The Bedside Dream Dictionary