The Pithoragarh district in the state of Uttaranchal, India lies in the border region of India and Nepal and falls in the seismically active zone of Kumaon Himalayas. A local network of eight strong motion accelerographs has been installed in this region since March 2006. The installed strong motion instruments have recorded several events in this region. These events have been located using HYPO71 and the processed digital data have been used for obtaining frequency dependent shear wave attenuation. This paper presents a method of finding from strong motion data, which is based on modified method of Joshi (2006). Based on availability of data, hypocentral parameters and clear S phases a total of 27 strong motion records from six stations have been used in this work. Using the inversion algorithm developed in this work an average relation in the form has been obtained for Pithoragarh region of Kumaon Himalaya.