19-year-old Darville is yet to make a first-team appearance for Leeds and is looking forward to the prospect of regular football with the League Two side.
Rotherham are currently third in the table and Darville is pleased to be joining a team in good form and competing for promotion.
"It'll be good to get some games in and hopefully that will stand me in good stead," Darville told Leeds' official website. "It's an added bonus with Rotherham being up there in the league. The spirit will be good and that will make it easier to go in. I had a week there earlier in the season so I have met a lot of the lads briefly. They seemed a good set of lads and I can't wait to get there."