Philosophy for Children' program that Mathew Lipman and his colleagues have developed is now known in our society and has led to thinking and research in this regard. Thus, to consider the challenges that are in front of this program can lead to the richness of these researches. Three challenges are in front of this program:philosophical, psychological, and educational. The philosophical challenge is due to the point that philosophy is mainly dependent on the history of philosophy and thoughts of preceding philosophers. This dependence should of course be along with critique, but this dependence cannot be denied anyway. Hence, philosophizing cannot be reduced to the methods of thinking. Psychological challenge is rooted in the approaches of developmental psychology that emphasize on phases in human thinking. Accordingly, abstract methods of philosophizing cannot be used in the period of childhood. Educational challenge is related to basic cultural values that might be shaken in the process of philosophical interrogations. The philosophical challenge requires that teaching philosophy to children emphasize on an amalgamation of method and content. The psychological challenge makes us cautious as to looking for more investigations on the periodical characteristic of thinking. And finally, the educational challenge requires that criticizing cultural values, being necessary in active education, is not started from foundational issues of culture. The period of childhood can only be fitted to interrogation of low level cultural issues and values and leave the foundational cultural issues to philosophizing in higher ages.