How do I beat Ogre in Tekken 3 with some other player?

What you have to understand is that Tekken does rely on a level of skill, especially at the higher levels.

For Ogre to be able to grapple you and deal a whopping three-quarters of your total health in one attack, you must be playing on one of the harder levels of difficulty.

What you are likely lacking is reaction time. Do not feel offended or self-conscious, as Tekken is a game often played in Video Game tournaments, where the difference between zero and hero can literally fall down to a couple of milliseconds (thats 1/1000th of a second).

Lower the difficulty rating, and try again. When the boss becomes "beatable", try to replay the fight over and over, preferably with the same character (your fighter of choice).

Over time, you will become more reactive, and capable of handling the boss on higher levels of difficulty. Just increase the difficulty as it becomes easier for you.

If all else fails, you can unlock Gon and use him. Gon is unique, in that he is a small character, and automatically avoids high-attacks and grapples.

He also has a few "dog" abilities that can easily be repeated over and over again to attack the opponent without giving them an opportunity to counter-attack.

Sidesteps are performed by tapping up or down. They can be used to avoid ordinary attacks, unblockable attacks and throws. –tekken.wikia

You can also roll backwards or sideways to get up, or side step after rolling, as suggested at GameFAQs. But if your opponent has learned how to exploit back techs, as explained below, you're going to need some more practice to level the playing field.

Getting Up From the Ground

Back tech: This is done by holding B as you hit the ground. This causes you to roll backwards and end in a standing position. This is useful to avoid followup ground hits, or avoid the mixup an opponent might try if you were to tech to the side. The downside to this is that if you back tech too close, the opponent can dash in and either float combo you out of your back tech, or dash in and hit you with a mid move, as there are frames towards the end of the back tech that leave you ducking. Also, if you get knocked far away, a backroll tech may put you in range for the opponent to use an unblockable running shoulder tackle. –tekkenzaibatsu.com

I play with King and Paul. –the OP

Both characters who heavily rely on punches and grappling; two of the harder things to get the timing right and they're two of the slower guys. All this game is, is timing. And if you (like me) can't time it; button mash it:

I forgot his name so I googled tekken 3 kicking guy : Hwoarang

I found it rather intuitive -when to start spamming the other kick button- once he spins around after kicking a few times. – If you two can punch each other, you're already standing too close.

That being said, I find King to be one of the most difficult characters to defeat if played well, however he is the easiest guy to beat if they don't know how to use him.

How do I defeat someone playing Orge, while I'm using a keyboard?

Step one, get a controller. Step two, select any character with a power kick. Time said kick to coincide with opponent's advance (I prefer Yoshimitsu's or Hwoarang's). Repeat until you both agree to pick different characters.