A method of selecting a patient of high WT1 vaccine response on the basis ofthe frequency of WT1-specific CTL precursor cells as an indicator; adiagnostic agent for the selection; etc. In particular, there is provided, forexample, a method of selecting a patient of high WT1 vaccine response,comprising the step (a) of isolating a biosample containing CTL precursorcells from a subject patient; the step (b) of measuring the existencefrequency or amount of WT1-specific CTL precursor cells present in thebiosample (a); and the step (c) of adjudicating on whether or not the resultsof the measurement (b) are high as compared with those of healthy people andjudging the responsiveness to WT1 vaccine.