It depends on the context.
1. "walking on the ramp": to describe the place where someone or something (like a cat) is walking
2. "walking the ramp": to describe what a fashion model does (more common is "walk the runway")
2013年3月28日
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Walking on the ramp.
Walking is the action. The ramp is your noun. You use "on" to show the relationship walking has with the ramp.