There is provided a fingertip oximeter that has a plurality of display modes which are presented sequentially in a circulating way, allowing users to easily observe a measurement result from any of surrounding directions. The present invention makes users to be able to observe a measurement result of the fingertip oximeter from any of surrounding directions, without the need of bending his/her finger. Thus, any partial occlusion of the arterial blood capillary can be avoided, so that strength of the pulse will not decrease, and strength of the signal will not be affected. As a result, the precision of the measurement is improved.