The main objective of this study was to shed light on the moral reasoning of undergraduate Israeli students towards genetic dilemmas, and on how these are affected by their religious affiliation, by the field they study and by their gender. An open ended questionnaire was distributed among 449 undergraduate students in institutions of higher education in Israel, and their answers were analyzed according to the framework described by Sadler and Zeidler (Science Education, 88(1), 4-27, 2004). They were divided into two major categories: those whose reasoning was based on the consideration of moral consequences (MC), and those who supported their opinion by citing non-consequentialist moral principles (MP). Students' elaborations to questions dealing with values towards genetic testing showed a correlation between the students' religious affiliation and their reasoning, with religious students' elaborations tending to be more principle based than those of secular ones. Overall, the students' elaborations indicate that their main concern is the possibility that their personal genetic information will be exposed, and that their body's personal rights will be violated. We conclude the paper by offering several practical recommendations based on our findings for genetic counseling that is specifically tailored to fit different patients according to their background.