The present invention relates to a microemulsion based pharmaceutical preparation of an antispastic agent, Baclofen to be administered intranasally. The present invention also relates to method of preparing transnasal microemulsion preparation(s) of antispastic agent, Baclofen. The present invention also relates to the use of transnasal microemulsion preparation(s) of antispastic agent, Baclofen in the treatment of spasticity of spinal or cerebral origin.