PROBLEM TO BE SOLVED: To provide a second agent composition for hair dyeing or hair bleaching, excellent in preservation stability and mixing property with a first agent, without sticking on applying to the hair after mixing, excellent in extensibility and having a good compatibility with the hair and excellent in bleaching property.SOLUTION: This second agent for hair-dyeing or hair-bleaching, used by mixing with the first agent composition containing an alkaline agent is provided by containing the following components (a) to (c): (a) 2 to 18 wt.% of a surfactant (b) 10 to 50 wt.% of an oily component and (c) 0.1 to 12 wt.% of an oxidant based on hydrogen peroxide. Further, the agent contains (a1) 1.5 to 9.5 wt.% of a non-ionic surfactant having at least 12 to 17 HLB as the component (a) in the second agent, and has the weight ratio of the (b)/(a) in the range of 1 to 10 and &le50 &mum volume-average particle diameter of emulsion particles.COPYRIGHT: (C)2007,JPO&INPIT【課題】保存安定性と第1剤との混合性に優れ、混合後の毛髪への適用時にべたつかず伸展性に優れ毛髪へのなじみが良く、かつ脱色力に優れる染毛用又は毛髪脱色用第2剤組成物の提供。【解決手段】アルカリ剤を含有する第1剤組成物と混合して使用する乳化組成物としての染毛用又は毛髪脱色用第2剤組成物であって、次の成分(a)~(c)(a) 界面活性剤:2~18重量%(b) 油性成分:10~50重量%(c) 酸化剤:過酸化水素換算量で0.1~12重量%を含有し、成分(a)として少なくともHLBが12~17である非イオン界面活性剤(a1)を第2剤中の1.5~9.5重量%含有し、(b)/(a)の重量比が1~10であり、乳化粒子の体積平均粒子径が50μm以下である染毛用又は毛髪脱色用第2剤組成物。【選択図】なし