Over time, dirt can build up in the latch or it might get stiff because it's not lubricated. You can try spraying a little silicone or putting graphite powder in the latch to make it move more easily. Another thing you can do is use a hairdryer to warm up the area around the glove box. This could help loosen up any parts that are stuck in the latch.

 

is your glove box full of stuff? It is possible your owner's manual is sticking up too high and it is keeping it from opening. If you think the latch is releasing but the door is not opening, you can "Bang" on it and see if you can get the stuff to slide down, or just pull real hard.

 

if you think it is a bad latch, you can follow this video

 

Simple question - are you sure that the glovebox door is not locked? Have both an Accord & a CRV. Just tried this out on both vehicles.

If the key slot points towards the top of the dashboard, the glove box door is UNLOCKED. The door lever moves & opens the glovebox.

If the key slot points towards the lever handle, or towards the steering wheel, the glovebox door is LOCKED. The door lever barely moves & the glovebox door remains closed.

Instead of banging against the glove box door in the hopes that the stuff inside will rearrange itself, push firmly against the door with one hand while attempting to use the door lever to open it. The catch for both vehicles is on the side - Accord towards the passenger door; CRV towards the shift lever. In both instances the catch is approx. 1/2 inch below the appropriate corner.