The theoretical characterizations on the triangular-form thixotropy-loop tests of an LDPE melt (PE-FSB-23D022/Q200) were conducted in the present paper by using a new thixotropy model, which is constituted by the upper convected Maxwell model and a rate-type kinetic equation. The new thixotropic Maxwell model can partially describe well three reported thixotropy-loop experiments by comparison with the previous calculations of the variant form of the thixotropy-type Huang model. It is noted that the stress deviations between the experiments and the predictions of the new thixotropic Maxwell model are much slighter than those deviations obtained by using the variant Huang model at the same condition, although both models include five parameters. The constitution of the new thixotropic Maxwell model is more reasonable than that of the variant Huang model. The theoretical characterizations on the triangular-form thixotropy-loop tests of an LDPE melt (PE-FSB-23D022 / Q200) were conducted in the present paper by using a new thixotropy model, which is composed by the upper convected Maxwell model and a rate -type kinetic equation. The new thixotropic Maxwell model can partially describe well three reported thixotropy-loop experiments by comparison with the previous calculations of the variant form of the thixotropy-type Huang model. It is noted that the stress deviations between the experiments and the predictions of the new thixotropic Maxwell model are much slighter than those deviations obtained by using the variant Huang model at the same condition, may both both models include five parameters. The constitution of the new thixotropic Maxwell model is more reasonable than that of the variant Huang model .