Despite the high incidence of the motor cognitive deficit apraxia after left-hemispheric stroke, evidence-based therapies do not exist. This randomized controlled clinical trial (RCT) investigates whether anodal transcranial direct current stimulation (tDCS) as an add-on therapy during neuro-rehabilitation can ameliorate apraxic deficits in patients with left hemisphere stroke. Therefore, anodal tDCS is applied over the parietal cortex of the left, lesioned hemisphere with an intensity of 2 mA for 10 minutes at a time on 5 consecutive days in combination with motor tasks before and after the stimulation. The effect of the stimulation is compared to a sham stimulation. Moreover, application of a pre-programmed study mode ensures a double-blind study design (patient and investigator). The performance in the apraxia test KAS (Cologne Apraxia Screening) 3-4 days after the last stimulation, compared to baseline, serves as primary endpoint of the study. Secondary endpoints are evaluated using various apraxia tests, motor tests and neuropsychological tests 3-4 days after the last stimulation and 3 months after enrollment.