Velasco was born on 7 April 1980 in Tuxtla Gutiérrez, Chiapas' capital. He was elected to Congress of Chiapas in 2001, becoming the youngest person to be ever elected to Chiapas' state legislature.
In 2003, he was elected Deputy of the LIX Legislature of the Mexican Congress representing Chiapas.[1] At the age of 23, he became the youngest person to serve as a federal deputy. He left his Chamber seat to run for Senate, winning Chiapas' seat in the July elections. At the age of 26, Velasco set another history by becoming the youngest Senator in Mexican history.[2]
In 2012, Velasco ran on a PRI-PVEM coalition ticket in the 2012 gubernatorial election and won, becoming Chiapas' governor later that year.[3]
On December 9 2014, a video showing Velasco slap one of his assistants went viral. The video, recorded on a mobile phone, presents Velasco Coello behind a mesh barrier saluting people, when a woman dressed in red pulls his arm and the governor leads her to a young man walking behind him. After indicating the woman to talk to his assistant, unexpectedly, the governor slaps the young man in the face and, while walking, he is seen recriminating him as he follows Velasco. Velasco was forced to publicly apologise.[4]