E! President of Network Strategy and E! News Cyndi McClellan made the announcement.
Jenkins is the former co-host of BET's long-running "106 & Park" video countdown show.
"Terrence Jenkins is a talented and well-connected television personality who will bring an original sensibility to our news programs," McClellan said in a statement. "His energy and engaging personality, coupled with E! News lead anchor Giuliana Rancic's proven experience, should help cement E! News' stature as the leading source for news across pop culture, delivered to an engaged audience on all platforms."
Jenkins' film credits include "Think Like a Man," "Burlesque" and "Sparkle."
"I've always had a passion for the wide spectrum of pop culture that E! News covers so well; I can't wait to get started," Jenkins said in a statement. "I've had a great career so far, and it's all been building toward this. And then getting to work with great people like Giuliana and the entire E! News team just makes this seem like an even more perfect opportunity."
Rancic is a breast-cancer survivor, who recently became a first-time mother.
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