They both mean "hold firmly", but grasp can also be used for abstract objects like 'ideas' or 'thoughts'. ex. O I've grasped the idea of grammar. X I've gripped the idea of grammar. (except for poetic purposes) Also, I believe the slight difference between grasp and grip is that grasp has a more recent, light, uncertain or unconcerned feeling, but the action is finished. Grip has a very strong affirmation in the action, and it's continuous. Therefore: Grasp - a firm hold that just happened, and unsure whether how long the hold will last, or will need to last, but it's done. Grip - a firm hold that's doing all it can to never let go. Hope this helps! :)

Grap: noun 1. the act of grasping; a seizing and holding fast; firm grasp. 2. the power of gripping: He has a strong grip. 3. a grasp, hold, or control. Grasp: verb (used with object) 1. to seize and hold by or as if by clasping with the fingers or arms. 2. to seize upon; hold firmly. 3. to get hold of mentally; comprehend; understand: I don't grasp your meaning.