The purpose of this article is to show the current situation in the Colombian health system in relation to the large number of Venezuelan migrants who have arrived to the country in the last few years, considering that the third cause that motivates them to leave their country is the Venezuelan health system crisis. To this end, firstly, the current conditions of the Venezuelan health system and the exercise of the right to health in that country will be studied, to understand why the aforementioned conditions can compel Venezuelans to emigrate. Furthermore, from a theoretical field, the response established by the Colombian law and jurisprudence for the attention of these people in their system will be examined, and finally, the way how this reception occurs and its impact will be analysed, to point out the barriers encountered for the exercising of the right to health of Venezuelan migrants, after that, some recommendations will be given to overcome such difficulties.