Why Indian Defense ?

  Well, Indian defense is my favorite opening for black and also I've seen this opening frequently in chess tournament.

 But this opening can be easily counter with pawn in h file for white. If that pawn keeps pushing indian defense can be broken easily. 

How to fix this point? 

You probably mean Kings Indian Defence because of the fianchetto setup - as opposed to the others in the "Indian family". Although you concern about the h pawn suggests to me you may actually be thinking of the Sicilian Dragon - because this is more common with the latter.

To "fix this point" is to realise that chess is a game of specific postions that have to be analysed. A slight difference in piece placement can make a huge difference. If there was a "one size fits all " solution chess would not be worth playing....Having said that...

...it may be that your attack can get in before they lever open the h file...in which case you will have analysed the position leading up to the critical position...

...it may be you can play h5 without unduly weaking your position, relative to other concerns, such as the paragraph above...likewise other little subtle pawn moves that either challenge or bypass the h pawn come into consideration, subject to the rest of the position and and analysis...

 I've left off the other pieces...

Black could play ....h5

or ....h6 so that h5 is met with g5

If black can get a rook on h8 he may welcome the levering open of the h file..

Very often white will put his bishop on h6 supported by queen to prevent this play, in which case you have to remedy that...and so you start have to think about and analysing what to do: Defend ? Counter attack etc

As Ziggy said, the h file attack is seen most often in the sicilian-dragon, which acts sort of like a king's indian.  Hopefully this helps...  If you are talking about a different case, let me know.  Also, these motifs can be applied to other situations with a pawn attack on a fianchettoed bishop.