In two cases of 3rd nerve palsy and trochlear palsy we performed a new transposition procedure. This procedure consists of splitting of the lateral rectus muscle and transposition of the upper half to a retroequatorial point near the nasal superior vortex vein. The lower half is transposed to a retroequatorial point near the nasal inferior vortex vein. In the first case we linked the two halves with fascia late. The horizontal deviation was diminished by 15-20 degrees.