I have a haier water machine with small refrigerator on th bottom in my salon. Water is leaking from it. Every day there is a small puddle under it. What is wrong?

All depends on how much water is collecting. A lot of water indicated a leak from the ice maker. A small amount and it's probably a clogged condensate drain. Here's a YouTube video on a different brand showing a clogged drain, your may be similar (or not), but it might give you an idea as to where to look. Refrigerator dripping water inside FIX

If it is an automatic defrost fridge the it will have a hose draining down into a container under the fridge, make sure it is draining where it should and has,not become dislodged. Some have a small tray with either pipes inside it or an electric heater. Some have a container sitting on top of the compressor, both of these are used to evaporate the water.
check to make sure there are no holes in the water catcher.
if you have an electric heater that is not functioning then the container will be already full of water and at each defrost cycle will overflow onto the floor.

Guys, . . . small puddle of water on the FRONT left side?? Y'know, . . under the FREEZER door??!? Maybe check the John Guest quick connect/disconnect fitting at the bottom of the freezer door just behind the front cover. It may not be fully connected, or may have a seal worn-out.

Check the hose clamps on the bottom. Sometimes the clamps are not all the way on or tight enough. I saw one that did the same thing.

EDIT: one of the mounting screws on the bottom of the tub will create a "tear" (or another word that rhymes with track) in the tub (Fixya says "The word $@#%^ is considered as profanity on Fixya. Please review your answer and try again").

I used a plastic soldering iron from Harbor Freight and cut a piece of the plastic webbing off the tub to "solder" the hole shut on the tub.

Sounds like your gasket may be going out. Consider replacing the gasket on the doors. Look for signs like small lines of frozen water that lead to the door or unexplainable excess ice in the bottom of the freezer.
I would also check for excess water in the condensation catcher tray, which may very well be located in the same spot under the ice maker. Depending on where you live (southeast, coastal, etc...) can have a strong contributing factor of having excess condensation, which will cause the tray to overflow.

Refrigerator Repair Help Troubleshooting and Parts

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Below the freezer coil is a drain trough. Sounds like it is frozen. Use a hair drier to melt it and poor baking soda with warm water down it.

the middle insulation hasbecome water logged, forma faulty defrost tube, so, every time trhe unit defrost, 2 maybe 3 times a day it will spill water inti the vents, andin to the refrig, the only correct way to fix is to have the enitre center drain block replaced, part not that expensive but labor to install may be, ohter then nussincence, not really affecting machines workings

the drain in the back of the freezer is probably full of ice. you need to pull out panel and use heat from a blow dryer to unplug the drain. then take a small gauge copper wire long enough to extend into the drain a couple of inches and loop it around the black heating element then when it goes yhrough defrost it should keep this from reaccuring

Your problem is a blocked drain which prevents melt water from the defrost from getting out. You'll have to expose the coils and find the drain hole. It is possible that the problem can be on the other end of the hose...where it hits the evaporation pan in the bottom of the unit.