PTCA(1,2,3-propanetricarboxylic acid) and BTCA(1,2,3-butanetetracarboxylic acid) are selected as new nonformaldehyde agents for ester crosslinking of cotton cellulose to replace the traditional DMDHEU reagent. A goal of this research is to propose unknown ester mechanism of cotton cellulose by PTCA or BTCA using crystal structure model suggested by Meyer and Takahashi. In pursuit of these goals, we have treated 100% cotton broad cloth with PTCA or BTCA and different catalysts. They were used with $NaH_2PO_2,;NaH_2PO_4,;Na_2HPO_4,;NaH_2PO_2,;Na_3PO_4,$ catalysts to produce nonformaldehyde fabric finishes. Treatments were applied to all cotton fabrics using a pad-dry -cure process. The esterfication of cotton treated with BTCA or PTCA was investigated using Fourier transform infrared(FT-IR) spectra and the breaking strength, abrasion retention and discoloration properties were determined to prove the durable finished fabrics. Patterns with respect to abrasion resistance were more complex. Because PTCA and BTCA add-ons were comparable, the data suggest that the more effective catalysts, $NaH_2PO_2$ and mixed phosphate $NaH_2PO_2/NaH_2PO_4$) are effecting either a great number of crosslinks in the cotton or producing crosslinks that differ in actual structure.