Purposes.: The purpose of this study was to investigate the development of competitive team results in four Taiwan men’s artistic gymnastics (TMAG) competitions during the Cycle of 2017-2020 Olympic Games (2017-2020 OG). This study was also aim to investigate the application of competitive advantage theory to find out the key of contributing factors in men’s qualification of 2019 Artistic Gymnastics World Championships (AGWC). Methods: For the first purpose: we used the descriptive statistics to describe the variation of difficulty coefficient (DC) and the portion of element value for four TMAG competitions. We used the one-way ANOVA analysis to compare the final score (F-score), difficulty score (D-score) and execution score (E-score) of six apparatus in four TMAG competitions results. For the second purpose: we used the descriptive statistical to describe the mean and median of three type scores (F-score, D-score and E-score) of six apparatus. We used the stepwise regression analysis to identify the effect of main factors (D-score or E-score) on F-score in six apparatus. We used the regression coefficient to represent absolute effect (D-score and E-score) affecting the F-score in each apparatus. We used the chi square to examine the portion of people distribution between the different level of D-score and E-score. We used the two-way ANOVA analysis to examine the cross effect between different level of D-score and E-score in each apparatus. Results: For the first purpose: (1) The total DC of five apparatus had increased 2.3 score. The gaining-losing portion of element value was between 4%. (2) There was significant difference in the the 2018 AGWC E-scores (mean = 7.928) was significant difference between 2017 Summer Universiade (mean = 8.363) and 2019 AGWC (mean = 8.466) (p < .05). For the second purpose: (1) The floor exercise (FX), pommel horse (PH) and parallel bars (PB) had higher median than mean in D-score, the difference between 0.120 ~ 0.161. The still ring (SR), vault (VT) and horizontal bar (HB) had lower median than mean in D-score, the difference between 0.027 ~0.160. (2) The SR, PB and HB had significant highly correlation with D-score (R = .767 ~ .890; p < .05). The FX, PH and VT had high correlation with-E score (R = .700 ~ .809; p < .05). (3) The regression coefficient of D-score in SR, PB and HB (Beta = .627 ~ .746) was biggest than E-score (Beta = .353 ~ .539). The regression coefficient of E-score in FX, PH and VT (Beta = .548 ~ .664) was biggest than E-score (Beta = .539 ~ .636). (4) The most people was distributed in the highly E-score (n = 749) in men’s qualification of 2019 AGWC. There was significant cross effect between difference level of D-score and E-score in PH (p < .05). Conclusions: (1) The key contributing factor in the growth of the TMAG team in 2017-2020 OG was maintaining the highly E-score while improving the D-score. We suggest that the TMAG should increase the usage rate of value above B by reducing the use of A value in PB and HB. (2) We suggest that the priority consideration should be the complete success performance of each apparatus under the influence of the law of alternate was highly E-score. For the D-score is dominant in the most athletes, such as FX, PH and PB, we suggest that athletes should take the advantage of E-score. But the PB should still maintain take the advantage of D-score. The impact of this law of comprehensive on F-score could be explained by 86.1% ~ 87.6%. For the E-score is dominant in the most athletes, such as SR, VT and HB, we suggest that athletes should take the advantage of D-score. But the VT should still maintain take the advantage of E-score. The impact of this law of comprehensive on F-score could be explained by 86.3% ~ 89.5%.