There have been few researches on the connection technology for steel structures, so the research outputs and the outcome of the technology development are still insufficient. The bracket-type connection should be improved for efficient constructability and $CO_2$ reduction. It should be replaced by a new type of weak-axis connection that has better structural performance and less $CO_2$ emission. Since the structural performance and safety of the new type of weak-axis connection must first be verified, however, a study on $CO_2$ reduction will be conducted. Therefore, this study looked into the structural performance of the bracket-type details, standard details, and ultra-simple details. It evaluated the requirements for connection materials and $CO_2$ emission. It was found that the ultra-simple weak-axis connection has thebest structural performance and the least $CO_2$ emissions, so it is deemed capable of replacing the bracket-type weak-axis connection.