Here is the technique I use.
I assume you can get one side of tyre on. Once that is done you get the other side on as much as you can.
You then use a toe strap or something similar, I use a couple of strips of double sided velcro, and place them at each point where the tyre is still to go on the rim. This stops the tyre from slipping back off.
Then, working from one end you squeeze the tyre together and get it to sit in the centre of the rim as best you can. The rim centre has the smallest diameter and if you can get the tyre beads in there then it will create the maximum slack possible. Work you're way around the rim and when you get to the other strap you remove it and you should be able to work more of the tyre on.
Repeat the process until the tyre is on. You may need to do it two or three times. After some practice I've gotten to the point where I don't need the straps and can usually get a tyre on in one go.
Incidentally, if you reverse this technique you can even take tyres off without needing tyre levers. Just work the bead into the centre of the rim and do this all the way around to create enough slack to enable you to remove the tyre.
Here is a video showing the above technique:
https://m.youtube.com/watch?v=-XUFVrl0UT4