To obtain a continuous range of clear vision in pseudophakia, an intraocular lens (IOL) with a dual-area aspheric surface and an extended depth of focus was proposed. The IOL was optimized based on a model of aphakia, and its optical performance was analyzed using Zemax. The modulation transfer function (MTF) values remained >0.30 at 50 cycles·mm ^-1 for eyes with a pupil diameter of 2.5 mm and object distance ranging from 0.75 m to infinity at a full field of view of ±4° and wavelength of 550 nm. Monte Carlo analysis showed that the MTF value at 50 cycles·mm ^-1 was >0.29, with a probability of 90% for eyes with anterior corneal asphericity ranging from -0.70 to 0.60 when the object distance ranged from 0.75 m to infinity. In addition, theoretical analysis showed that the optical performance remained stable at different pupil diameters and in polychromatic light.