The aim of this paper is to study the use of non-projective structures in Unas’s and Teti’s Pyramid Texts (ca. 2321–2279 BC) annotated in the Egyptian-UJaen treebank. It offers the first typology of non-projective patterns in Old Egyptian, and it discusses the causes for non-projectivity in the Old Egyptian language of Unas’s and Teti’s Pyramid Texts to conclude that non-projectivity is an exceptional phenomenon in these texts.