An apparatus for distance measurement, having one or several optical detector modules and a readout module is provided. The optical detector modules each have a plurality of optical detector elements having one or several optical detectors and a counter indicating a count value, the optical detector elements each being in an active state or an inactive state. Each optical detector module has a timer element configured to determine a current time value and configured to continuously update the current time value, and a memory element for storing a plurality of time values stored. The readout module is configured to determine and output, for each detector module of the one or several optical detector modules, at least for each optical detector element of the optical detector elements of this optical detector module, which is in an inactive state, a time value for this optical detector element in dependence on the count value of the counter of this optical detector element and on the plurality of time values stored.