An important person is one who holds a significant position or carries immense influence in society. Synonyms for this phrase include notable, prominent, distinguished, influential, high-profile, eminent, and celebrated. These words emphasize the importance of the individual in their respective fields or areas of expertise. A person who holds a position of authority or power could also be referred to as a titan, mogul, tycoon, or magnate. On the other hand, if the emphasis is on their high social status and prestige, then words such as aristocrat, noble, elite, or royalty could also be appropriate synonyms. Ultimately, the chosen synonym would depend on the specific context and the desired connotation.