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After establishing that marker\u2010positive patients benefit from the treatment, it is often of great clinical interest to determine whether the treatment benefit extends to marker\u2010negative patients. The authors propose optimal sequential enrichment (OSE) designs to address this practical issue in the context of phase II clinical trials. The OSE designs evaluate the treatment effect first in marker\u2010positive patients and then in marker\u2010negative patients if needed. The designs are optimal in the sense that they minimize the expected sample size or the maximum sample size under the null hypothesis that the MTA is futile. An efficient, accurate optimization algorithm is proposed to find the optimal design parameters. One important advantage of the OSE design is that the go\/no\u2010go interim decision rules are specified prior to the trial conduct, which makes the design particularly easy to use in practice. A simulation study shows that the OSE designs perform well and are ethically more desirable than the commonly used marker\u2010stratified design. The OSE design is applied to an endometrial carcinoma trial. 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