Electroencephalograms (EEG) are electrical brain maps which arise as a result of neuronal activity occurring in the cortical region of human brain. These EEG signals on the scalp surface associated with cognition and motor response of brain and are a useful guide to study human behavior and its association with the underlying brain dynamics. Appearance of EEG activity as a result of some specific cognitive or motor event is an event-related activity and associated potential is known as Event-Related-Potential (ERP). Sensorimotor process related to motor activity or sensor recognition involving multiple cortical regions of the brain is the most critical and complex brain activity. To study such inter-related cortical excitations, we present event-related-synchronization (ERS) and event-related desynchronization (ERD) analysis of motor hand movement activity paradigm conducted 10 healthy human subjects. A predefined trial sequence is presented to the subjects and EEG signals are recorded on primary motor area C3, C4 are obtained in a non-invasive manner. Phase synchronization of recorded EEG signals at channels C3, C4 are determined. High phase coherence is observed for left hand movement on C3, C4 contralateral electrodes with a correlation coefficient of 0.6922 and for right hand movement correlation coefficient is 0.6561. EEG signals on two electrodes remain phase locked for duration of 300 – 500 ms. Spectral analysis reveals spectral band in alpha rhythm (8-13 Hz), for average values of frequency with 11.613 Hz for left-hand movement and 11.305 Hz for right-hand movement. EEG signals at other electrode positions show less or no phase synchronization for hand movement motor execution paradigm.