The present subject matter discloses methods and systems of sharing of peripheral devices in multi host computing systems (100). In one implementation, the method of sharing a peripheral device (116) amongst a plurality of hosts of the multi-host computing system (100) comprises receiving a request to switch the peripheral device (116) from a first operating system running on a first host from amongst the plurality of hosts to a second operating system running on a second host from amongst the plurality of hosts; generating a request for the first operating system to relinquish control of the peripheral device (116); determining the status of the relinquishment based on response generated by the first operating system; initiating a request for the second operating system to install a device driver for the peripheral device (116) upon determining successful relinquishment; and transferring ownership of the peripheral device (116) to the second operating system.