Context : Kanzelhöhe Observatory for Solar and Environmental Research ( KSO ) provides daily multispectral synoptic observations of the Sun using several telescopes . In this work we made use of sunspot drawings and full disk white light CCD images . Aims : The main aim of this work is to determine the solar differential rotation by tracing sunspot groups during the period 1964 - 2016 , using the KSO sunspot drawings and white light images . We also compare the differential rotation parameters derived in this paper from the KSO with those collected fromf other data sets and present an investigation of the north - south rotational asymmetry . Methods : Two procedures for the determination of the heliographic positions were applied : an interactive procedure on the KSO sunspot drawings ( 1964 - 2008 , solar cycles nos . 20 - 23 ) and an automatic procedure on the KSO white light images ( 2009 - 2016 , solar cycle no . 24 ) . For the determination of the synodic angular rotation velocities two different methods have been used : a daily shift ( DS ) method and a robust linear least-squares fit ( rLSQ ) method . Afterwards , the rotation velocities had to be converted from synodic to sidereal , which were then used in the least-squares fitting for the solar differential rotation law . A comparison of the interactive and automatic procedures was performed for the year 2014 . Results : The interactive procedure of position determination is fairly accurate but time consuming . In the case of the much faster automatic procedure for position determination , we found the rLSQ method for calculating rotational velocities to be more reliable than the DS method . For the test data from 2014 , the rLSQ method gives a relative standard error for the differential rotation parameter B that is three times smaller than the corresponding relative standard error derived for the DS method . The best fit solar differential rotation profile for the whole time period is \omega ( b ) = ( 14.47 \pm 0.01 ) - ( 2.66 \pm 0.10 ) \sin ^ { 2 } b ( deg/day ) for the DS method and \omega ( b ) = ( 14.50 \pm 0.01 ) - ( 2.87 \pm 0.12 ) \sin ^ { 2 } b ( deg/day ) for the rLSQ method . A barely noticeable north - south asymmetry is observed for the whole time period 1964 - 2016 in the present paper . Rotation profiles , using different data sets , presented by other authors for the same time periods and the same tracer types , are in good agreement with our results . Conclusions : The KSO data set used in this paper is in good agreement with the Debrecen Photoheliographic Data and Greenwich Photoheliographic Results and is suitable for the investigation of the long-term variabilities in the solar rotation profile . Also , the quality of the KSO sunspot drawings has gradually increased during the last 50 years .