Kitson is the second forward to join Boro on loan since Gordon Strachan was named manager at Riverside in October.
Marcus Bent joined the club on loan in October.
“I’m delighted Dave is coming in to bolster the squad’s numbers and give us more options,” Strachan told Boro’s official website.
“I’ve been a fan of Dave’s for a few years now. He is a good striker and another player for us to call on.”
Kitson added: “I’m happy to be here and excited to be part of it. I’ll do my best and hopefully that will be enough to keep the club in the top positions.
“I’ve not had a chance to see any of Middlesbrough’s games but I know they’ve got some great talent in the squad, so I’m looking forward to it.”