Taking on Microsoft's Kinect system, Leap's technology allows users to control a computer in three dimensions with just their natural hand and finger movements.
According to Leap, the system is accurate to within 1/100 of a millimetre - smaller than the tip of a pin - and allows various precise touch-free gestures, such as pinch-to-zoom.
The technology creates a 3D workspace in front of the screen, and is said to be the first product to accurately sense the individual movements of all ten of the user's fingers at 290 frames per second.
Leap Motion revealed its controller last summer, and more than 400,000 developers have since requested to work with the company. However, the Asus deal represents a major coup for the startup.
Asus plans to bundle the Leap Motion controller with its upcoming premium All-In-One PCs and high-end notebooks for global distribution.
"Our commitment to innovation and exceptional quality drive us to provide the best technology to our consumers," said Albert Wu, the desktop division senior director at ASUSTek.
"Leap Motion has developed an exciting technology that will truly enhance the experience our customers have with their Asus devices, opening a world of opportunity for personal use and business, from entertainment to architecture to education. We're proud to be one of the first companies to partner with Leap Motion."
Leap Motion co-founder and chief executive Michael Buckwald added: "As OEMs adopt 3D motion control technology, they're spurring a rapid evolution in computer interface innovations and helping free the full power and potential of computing for consumers.
"This historic partnership with Asus is an important step in building global adoption of the new computing paradigm Leap Motion's technology offers. We're delighted that Asus shares our outlook on the future of human/computer interaction."
Leap Motion recently completed a funding round in which it generated $30m (£18.6m) from existing investors, including Highland Capital Partners, in addition to the previously-gained $14.55m (£9m).
The Leap controller works by plugging directly into a computer's USB port, before calibrating to the machine's settings. The user can then start controlling their PC with touch-free hand and finger movements.
Sensitivity settings can be fine-tuned, while custom gestures can also be created and multiple Leap PCs can be networked together.
Consumers can now pre-order their standalone Leap Motion unit for $70 (£43). These are expected to ship in the next few months.