This paper reports Primary School teachers’ discourses analysis about their difficulties related to the teaching of Astronomy. It reports partial data of a master’s level research carried out in the last two years, named “An exploratory study for inserting Astronomy in primary school teachers’ education” (LANGHI, 2004). The study took into consideration students’ and teachers’ common sense conceptions about astronomical phenomena, conceptual mistakes in textbooks, and Astronomy’s suggestions given by the PCN (Parâmetros Curriculares Nacionais – The Brazilian National Curriculum Standards). The paper aims to characterize teachers' difficulties, in order to provide subsides to the implementation of an initial or continuing education program. This study is justified by the fact that courses plans like these only will be adapted to the teacher's (and students’) reality, if there is a primary investigation about what the teachers really need to know about Astronomy. This fact was possible here by the enunciations interpretation of a teachers’ sample using semi-structured interviews, according to discourse analysis procedures. The research outcomes show difficulties related to factors like: those of personal order, methodological, on teacher’s formation, educational infrastructure and other related to information sources for educators.