An alignment device with one or two optoelectronic transmitting and/or receiving units and an evaluation unit. At least one optoelectronic transmitting and/or receiving unit contains an inclinometer. Furthermore, the transmitting and/or receiving unit is connected to a vibration sensor which can be the inclinometer. Both the result of the alignment process and also the result of the vibration measurement are communicated to the user as an easily understandable characteristic on a display of the evaluation unit. For vibration measurement at a non-rotating part of a machine, an accelerometer/inclinometer sensor may be used for measuring acceleration forces resulting from machine vibrations to be measured and for measuring gravity and an electronic evaluation unit determining the orientation of the sensor with regard to gravity from a stationary component of the sensor output and determining sensor orientation from evaluation of non-stationary components of sensor output.