Install applications on android market through my computer My phone model is Xperia Neo.
My computer has an internet connection but my phone doesn't.
I followed following steps to install app to my mobile from computer


Go the market app website.
It shows my phone model and when I click on Install
It shows the message that This application will be installed shortly
but actually nothing happens.


I have seen following video also which shows how to install app from computer but It is not working for me.
http://www.youtube.com/watch?v=evAiHzNPEgw

Is there any problem with my phone or do I have to do something else?
The Play store website works by sending a notification to your phone asking it to install the app. If you're having problems with that make sure that:


Your phone has Internet connection 
You logged in with the same Google account that's on your phone. 
You're logged in to Google Talk on your device 
Background data is enabled 
Syncing is enabled for your main account's Gmail. 


These are the most common reasons that can cause push notifications (this is the way Web install is handled ) to malfunction. 



If your phone doesn't have Internet connection and want to install apps though by downloading them to your computer first you could try following this tutorial. 

However I would personally advise against it because it requires you to disable certificate error warnings and enter your password. If you want to do it at least create a second chrome profile for this and enable 2-step verification