MARTIAL ARTS ALL CAPS RAGE

Training, training and more training. Perfect techniques, and the power and speed will come

Yes, I agree with Magnus too, but you can also try plyometrics, it helped me a lot with my kicking speed and power.
Good Luck

To build strength and power, add resistance.

You can use wrist and ankle weights whilst practicing punches and kicks to the heavy bag, or punch whilst holding small hand weights.

Boxers make use of heavy training gloves.

Back in my karate days, we used a pair of Tetsu Geta -heavy ceramic sandals. You wear them when practicing kicks.

yeah, ill expand on what magnus said if i can.

Basically in striking sports its not really the strength that matters, but more in the speed that you can do it. Speed is pretty much everything, ofcourse strength still plays a role but its taken care of if you can get the technique correct AND have speed... Most either have the technique but not the speed (better i guess), or the speed but not technique (worse as imo technique is everything)

So what i say is, dont bother buying stuff like ankle weights. Pick one kick. For example round house.... Start of slowly, make sure its absolutely perfect, if you fall off balance then start again, keep doing it slow, and do that about 50 times per leg, more if you feel you still havnt gotten the jist of it. Once you get that, you can keep increasing speed, as soon as technique goes sloppy slow down....

I went too fast and my technique was absolutely horrible in kicks such as round kick and i really regret it because now my  mind is used to using that shitty technique -_-. Bad luck to me. Its not that its really bad, but its not perfect, and theres little power and that annoys me, even if i do go fast.

Also another tip i can give you for kicks especially is when you kick with, say your back leg, bounce up. I find this really usefull, not only does it increase the speed but it gives it more power. Also make sure you thrust your hip in the direction needed.

So for example the front kick. Imagine you want to kick with the back leg. you bounce up with your calf mucle a little bit, then chamber, when kicking thrust hips forward and kick.

Anyways all im saying is speed without technique is like trying to run without legs.

Forearms and your waist because you have to twist in your punches

Its dangerous for your joint. Say you throw a punch,straight punch for simplicity sake, with a light dumbell. First off, it does nothing to add power to the punch as the resistance is wrong(you are fighting gravity, not direct resistance). Want to add resistance, use rubber/resistance bands designed for it.
Also striking with weights can mess up the technique itself. Off target striking(with weight you are using force to keep it center target), and if the brain gets to used to added weight, when you have to go without the weights you might actually lose speed and power.

Now, as your arm extend, the force will be transferred to what you are hitting. If you are punching air, to begin with you cant go all out, as the power has nowhere to go and the joint takes the brunt of the punch(try it and you feel it), one of the reasons many tkd practicioners get joint issues, alot of shadowkicking etc with force.
Now add even a light weight to that punch. In addition to the force generated by the arm itself, you will now have the added weight increase the outward force. Now think about the joint that actually have to support that force.

This can lead to stress injuries of the joints, and that will really mess you up.

 

wait magnus you say that going all out on a kick or punch with weightless is bad for joints. So how do i train the speeds of my kick and power of kicks with no pads or bags or anything?