The paper describes wittiness as a characteristic of the mind. It also compares wittiness and the sense of humour, determines correlation between wittiness and creative thinking. Nuances distinguishing comic and non-comic wit bring the latter very close to scientific thinking. Wit and creative thinking use the same strategies involving destruction of habitual contexts and discovery of new links between processes, objects and phenomena. A classification of strategies for producing witticisms allows one to see the differences between people preferring different types of witticisms. Certain types of witticisms can be regarded as variations of a creative product, the laughter appreciating the quality of the product - as an indicator of creativity. On the other hand, originality as an indicator of creativity can be regarded as true wittiness.