Monitoring arrangement for monitoring the movement of an elevator car, which monitoring arrangement comprises a measuring arrangement for measuring the movement of the elevator car which measuring arrangement comprises - identifiers (2A, 2B, 2C, 2D) disposed at set points in an elevator hoistway, - each of which identifiers (2A, 2B, 2C, 2D) contains at least one property to be measured, which property to be measured is made to be variable in the direction of movement of the elevator car; wherein the speed of the elevator car in the reading situation of the identifier (2A, 2B, 2C, 2D) is determined from the time variation of the property to be measured of the identifier in question, - at least one measuring apparatus, which measuring apparatus is fitted in connection with the elevator car and which measuring apparatus is arranged to move in the elevator hoistway along with the elevator car, - and which measuring apparatus is arranged to separately read the property to be measured of each aforementioned identifier after the measuring apparatus has moved in the elevator hoistway to the reading point individual for the identifier (2A, 2B, 2C, 2D) to be read; characterized in that the monitoring arrangement comprises a limit value (14A, 14B, 14C, 14D) for the maximum permitted speed of the elevator car, and in that the monitoring arrangement is arranged to compare the speed of the elevator car determined from the time variation of the property to be measured of the identifier (2A, 2B, 2C, 2D) disposed at a set point in the elevator hoistway to the limit value (14A, 14B, 14C, 14D) for the maximum permitted speed of the elevator car, and in that the monitoring arrangement is arranged to perform an emergency stop when the speed of the elevator car determined from the time variation of the property to be measured of an identifier exceeds the limit value (14A, 14B, 14C, 14D) for the maximum permitted speed. - identifiers (2A, 2B, 2C, 2D) disposed at set points in an elevator hoistway, - each of which identifiers (2A, 2B, 2C, 2D) contains at least one property to be measured, which property to be measured is made to be variable in the direction of movement of the elevator car; wherein the speed of the elevator car in the reading situation of the identifier (2A, 2B, 2C, 2D) is determined from the time variation of the property to be measured of the identifier in question, - each of which identifiers (2A, 2B, 2C, 2D) contains at least one property to be measured, which property to be measured is made to be variable in the direction of movement of the elevator car; wherein the speed of the elevator car in the reading situation of the identifier (2A, 2B, 2C, 2D) is determined from the time variation of the property to be measured of the identifier in question, - at least one measuring apparatus, which measuring apparatus is fitted in connection with the elevator car and which measuring apparatus is arranged to move in the elevator hoistway along with the elevator car, - and which measuring apparatus is arranged to separately read the property to be measured of each aforementioned identifier after the measuring apparatus has moved in the elevator hoistway to the reading point individual for the identifier (2A, 2B, 2C, 2D) to be read;