Our boy "bunny hops" his way up the stairs. We taught him to go down the staircase when he was 10 weeks so he wouldn't develop a fear of it. He goes very slow, taking his time with each step. I never rush him. I praised and rewarded him for taking each step slowly. I discouraged him from wanting to move too quickly. I never allow him to run up/down the steps. For the most part, and until I can't lift him anymore, I still carry him up and down the stairs. I hope to be able to do this until he is done growing, to help prevent any injuries to his limbs. There will eventually come a day when I can't carry him anymore (for being too heavy), but at least he will have learned to do it on his own slowly, not jumping or running and without fear.
If your boy is eventually going to use the stairs because it is unavoidable for him, I think you should teach him now, so he doesn't develop a fear of it and is given the chance to learn the proper way to walk up and down and not run or jump.