According to many authors, giftedness and creativity are usually connected. Because of that, this paperaimed to test this hypothesis, evaluating and reportingconnections between gifted and non-gifted children and creativity by evaluating Brazilian students from a public school. The researchinvolved a group of gifted students and a control group with non-gifted ones. The first group was previously identified with giftedness in a master degree research conducted in 2013 and published in 2015(MENDONÇA, 2015). Both groups consisted of 2nd to 5th graders, studying in the same place. Children were evaluated by using a creativity test (Torrance Test of Creative Thinking) and their scores were analyzed and compared. From the analysis of the obtained data, the central questions that guided this paper were answered: "Is there a connection between giftedness and creativity? Are all gifted students more creative than non-gifted ones?"