Precise pile height is an essential quality measurement for sculptured-style jacquard carpet. Constructing correct the yarn tension model is the key to accurately control carpet pile height during manufacturing carpet. This paper described a standard tufting equipment system with essential components in the yarn path. First, the relationship of pile height and pile tension is formulated. Then, the A. P. Minakov Euler formula is introduced into yarn tension modeling which including the yarn guides, sub-line frame, and puller rollers parts. Finally, this tension model is validated by comparing yarn tension simulation result data and experimental measuring data.