The cause of the suspected crash was not immediately clear, and the ministry has opened an investigation.
Fans and celebrities took to social media to mourn the singer and television star who was known as much for her music as she was sometimes for her over-the-top antics.
"Spent some time with Jenni Rivera recently. What an amazing lady ... Cool, smart, funny & talented. Such a travesty ... God Bless her family," actor Mario Lopez tweeted.
Mexican singing sensation Paulina Rubio was inconsolable on Twitter.
"My friend! Why? There is no consolation. God, please help me!," she tweeted.