It looks like a Miltoniopsis. Difficult in some climates and doesn't like high temperature also maybe over-potted (pot too big for plant).
You need to describe your growing conditions in some detail for this plant to get good help.

Overpotted. Soil mix too wet. Too much sunlight. May have root rot. Depot immediately and pot down into the smallest possible pot if roots look healthy. Else if roots look rotted toss it out and try again. Keep these babies underpotted and provide excellent drainage and lots of quality water during growing period and less so when bulbs are done. Soil mix of fine fir bark blended with shredded sphagnum moss in small pots or osmunda roots in larger pots with ample water.

kept in about 25 degrees C. Moisture at 40% with a humidifier running for half of the day long. planted in a medium of mix bark/some sphagnum moss, charcoal and perlite. I water it with superthrive hormone addition and fertilize once a month with 20-20-20.
I just repotted it in a tiny pot... set back on the rocks.. root system seems alright. The light comes from 60 watt day light lightbulb above.

To be honest, miltonias or rather miltoniopsis are not the easiest orchid to grow. Typically, they like medium light (your plant seems to be a bit bleached, so it might be receiving too much light). They like high humidity and rather cool temps. Better if kept in the mid to upper 70 degree F range. (The species originally came from high, mountainous areas in the sub-tropics). Dry (low humidity)conditions can cause new leaves to come out with an accordion like look. A sign the plant isn't very happy. As stated by others, this plant is overpotted. The plant should be in a smaller pot, and in a fine grade bark, or seedling bark with perlite or charcoal and perhaps some shredded sphagnum. Medium indirect light, and cool and high humidity conditions.

I've had trouble with these over the years, finally learned a trick which seems to make them like me. Keep them cool in the summer and warm in the winter. With one word, even temp all year round. This in addition to everything else said above. Not the easiest plant. This specifically refers to Miltionopsis, Miltonias are a different kettle of fish.

Nick

Thanks for help, yea I pretty much been following what has been advised to me in this post, I also have another Meltonia that I purchased at trader joes. The other one is red color flower with yellow coloration inside, that one I had separated in 2 different plants and its in same exact condition as this white flower Meltonia I was worried if it might have been some sort of an illness such as a parasite or fungus.. And as I mentioned above it is now repotted into small plastic orchid pot.

Does your plant have a tag? If so is it a MILTONIA or a MILTONIOPSIS? Totally different culture techniques.

Nick

Here are a couple of pics.
Miltoniopsis Hybrid Unknown grex name.
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Miltonia May Moir
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it is Meltonia, not Meltoniopsis does have a tag.

http://www.orchidsinourtropics.com/uploads/SE_4uKcU7ZC-qEappQiM3A/Miltonia_ROBERT_JACKSON.jpg this is the sick one you see in the picture above,

http://www.photoready.co.uk/flora-fauna/images/miltonia-oriental.jpg i also have this one and its thriving in the same conditions.. they are right next to each other.

They are Miltoniopsis. The Royal Horticultural Society keeps the register of Orchid Hybrids and they changed the names recently. Makes sense to me.
As to why one is thriving and the other is not.....are they in the same mix....the same size pot? If so, maybe one hybrid is more vigorous than the other.

These are both Miltoniopsis, not Meltoniopsis nor Meltonias. Difficult plants. If you are doing well with 50% of them you are doing better than most.

Nick

I do not think they are hard to grow. What is important is water quality and TEMPERATURE! Use distilled or r/o water that is at room temperature.

the plant didnt make it. bulbs turned orange and it lost all the leafs, however it's red blossom sister sprouted 2 new shoots.