The objective of the study was to identify achievement goals and parenting practices, support for autonomy - psychological control, and to determinate the relationship between these parental measures, according to the gender and educational level of the parents from Cuenca, Ecuador. The Parental Achievement Goals questionnaire was applied, adapted to Spanish from the Parental Achievement Goals AGQ instrument; and Autonomy Support Scale. The sample consisted of 713 mothers (A. age = 43, DE = 7) and 543 fathers (A.age = 46, DE = 8) and 1085 teenagers (A.age = 16.1, DE = 1.1). The Subtheory Goal Content of Self-Determination Theory has been the theoretical basis for explaining that parental achievement goals guide the support for autonomy and psychological control. They used parametric tests, the T-Student and ANOVA test, Pearson's r correlation coefficient for the linear regression of the study variables. The results showed that there is no relationship between parental achievement goals with support for autonomy and psychological control; however, the educational level of the parents was related to: parental goals, support for autonomy and psychological control perceived by teenagers.