This essay analyzes one of the important legislative acts, "co-sponsor (bill proposing)" among legislators in Taiwan and establishes a "sponsorship network". We use the open data of legislators and bill proposals from September 2014 through January 2015, which is the sixth session of the eighth Legislative Yuan members. This study applies the concept of social networks on observing co-sponsorship behavior of legislators to measure network density, modularity and "network centrality" in the parliament by these four indicators: degree centrality, between centrality, closeness centrality, and influence centrality. In conclusion, it is found that gender of the legislator, party size, the year of serving as a legislator are more correlated with "centrality", while belonging to ruling/opposition party, regional/ non-regional legislators are not significant different.