An appliance for recording an image of an ocular fundus includes an irradiating device with a radiation source and optical components for generating an illumination strip. A scanning device is set up to cause a scanning movement of the illumination strip for the purpose of scanning the ocular fundus. An optoelectronic sensor senses detection light issuing from the ocular fundus. The optoelectronic sensor has a plurality of sensor rows and is set up such that charges contained in one sensor row are each shifted, with a time delay, into a further sensor row. A control means is connected to the scanning device and/or to the optoelectronic sensor and is set up to control the scanning movement and/or the time delay.