1. A biological optical measurement apparatus comprising: an applied unit having plural light irradiating probes for applying light to an object and plural light detecting probes for detecting light returning from the object, and worn by the object; a measuring unit for measuring an amount of light detected by the light detecting probes; a two-dimensional image constructing unit for constructing two-dimensional topographic images from the measurement result of the detected light amount; a monitor for displaying the two-dimensional topographic images; and a three-dimensional image constructing unit for making the two-dimensional topographic images correspond to measurement positions and superposing the two-dimensional topographic images in order of measurement time to thereby construct a three-dimensional image, the thus-constructed three-dimensional image being displayed on the monitor, wherein the three-dimensional image constructing unit can set a threshold value of the measurement result information, and wherein display/non-display of the measurement result information can be selected with the set threshold value as a boundary.