Abstract: This paper discover that when disturbance occurs on Chebyshev knot,so long as the disturbance amount does not exceed ),then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still keeps the converge uniformly properites for any continuous function on[-1.1].Besides ,the paper estimates the convergance rate.

Key words:  , disturbing Chebyshev Knot, quasi H-F interpolation, convergance properiters, approximating order