I jungle Malphite because he can do his job for the team with the farm he gets in the jungle. I play him as a tanky initiator and a zoner. This build focuses on being tanky and supportive for your team, along with being able to do a decent clear time in the jungle. While his clear time isn't great, he can pull some nasty ganks once he gets his ultimate. Malphite is also a pretty safe jungler.
This build allows Malphite to soak up very high amounts of damage, and if played right a good Malphite ultimate can win a close game. So if you like to play tanky champions and your looking for a fresh Malphite build, you have come to the right place.

Pros:
Natural tanky.
3 CC skills.
Game winning ultimate.
Best voice ingame.
Safe Jungler.

Cons:
Mana hungry.
Not much damage.
Can be hard to gank before lvl 6.
Ultimate can be predictable.

Blue - wolves - wraiths - golems - red - look for a gank or go back to buy. If you can get a smiteless leash on blue, you can grab red right after, and then look to gank.
Remember that your best spell in a gank is Q before you get your ultimate, so if your looking to gank early, you might want to put an earlier point in Q.
Try to keep your levels up, you need to get to 6 asap, thats when you're ganks become almost inescapable.

This build is generally what you will be going for, it gives you high tank stats, and high spell resource. CDR caps at 40%, so 10% goes to waste in this build, but the stats suit Malphite so well that it's worth it.
Remember that you can take small pieces of an item and slip into the build earlier in the game then what the guide recommends. For instance get Spectre's Cowl early if you need the MR. See which enemies are powerful at the time, and itemize accordingly.
The sixth item of every build is situational, this is no exception. Build what you need, or what your team needs. The build shown in this guide is just the general build, feel free to try it out, and swap around items as you wish. Malphite is overall a great jungler, and should be tried. Please leave a comment and let me know what you think.
Sorry for my English, its not my native language.