A method and apparatus for inspection and control of threaded joint tightening processes by registering over the main part of the tightening process the momentary values of the torque delivered to the joint and the angular displacement of the joint and by comparing these values in a control unit with limit values of a narrow check range and a wider control range. Indicating lamps are arranged to be initiated in response to the check and control range limits being passed. In addition to the indicating lamps being initiated an output signal from the control unit may be used for discontinuing the tightening process as the control range limits are passed.By utilizing a computer for supervising the tightening process it is possible not only to store torque and rotation values registered during the process and make a later comparison with the predetermined limits but also to arrange those limits in non linear control and check ranges for use in plastic deformation tightening applications.