Good question.  Some would say that that is THE question. 

I don't know. I have never had a good kick. The ability to pick it up at the end of a race is mental though.

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"Like you did as a child, take the quiet path, the scenic route. Pedal the back roads, slip through the neighborhoods. Suck in the sharp air.
Smell the trees...."

Mark Jenkins
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They didn’t know my shoulder was broken so I just kept riding

People don't Understand how hard it is to win a bike race...That my problem...I make it look easy

- Do striders in your general aerobic runs to keep your leg speed up.
- Consciously lengthen your stride (when you're kicking), it's often easier to focus only on this (which will make you go faster) than to focus on going faster.
- Negative split all your runs. Start off at a jog and you'll gradually build up to a decent pace. I reckon this is really crucial. I don't really do the other two things, but I have quite a good kick (3:15 last km in a 40:01 10k haha).
- And obviously you'll have a bigger kick if you negative split your race.
- There is a big mental aspect to it too, try repeating a mantra "I will not slow down" or something like that.

If you want to develop a "kick", then you have to learn how to sprint. When a sprinter "kicks", the first thing he/she does is hold their breath for a bit while he drives his arms and starts to knee lift. While kicking, the respiration rate is reduced dramatically. The "kick" is also paced and not run like a 50 meter dash (unless only 50 meters from the finish).

I coached a distance runner who learned how to sprint when she was young. In a high school indoor invitational race (3000m), after leading the entire race, she was caught by someone with 200 meters left and won the race by 12 seconds. She was also dead tired because she doubled (1000m and 3000m) in another meet a couple of days earlier and hadn't recoverred. After the mile she decided to run for the win and forget about time. But, the "kick" was there because it is something very technical (especially if you have some natural speed).

Just do it.  No matter what happens in a race, you can still kick.  Dig deep.  Once you have reached your nadir of pain, you still can sprint for 400 meters before you cannot go anymore.