why did come space before words and between words in marathi unicode for indesign CS6 what is solution for error free space

I’m not completely certain what you are asking, but you’ve circled a few invisible characters. They aren’t things that InDesign will add automatically to your text, although I frequently see them come in to InDesign through text copied from various sources (Word? Your web browser?) and pasted into InDesign. The technique to avoid such issues is to not use the clipboard to paste text into InDesign, but to use File → Place to place text files directly into your document. Alternately, you could choose to paste raw text only, either by always using Edit → Paste Without Formatting, or by using a third-party tool to convert the contents of your clipboad to raw text. 

The first invisible, at the beginning of a body paragraph, is a “zero width space” - Unicode U+200B, which is a “Discretionary Line Break” in InDesign. The second one looks like it could be a “Zero Width Joiner” at U+200D, although the little hat looks a little off, so it could be a stacked zero-width space AND a non-joiner (U+200C). That would be just the kind of insane construction of control characters that I’d expect to get from complex script text being copied and pasted into InDesign. 

However those control characters got in there, it’s not something that InDesign did. Sometimes people who are clumsy at the keyboard (like myself) accidentally hit unexpected key combos? But there aren’t any default keystrokes in InDesign for these Unicode control characters. You can check to see if your install has any shortcuts defined for these glyphs; they can be found in Type → Insert Special Characters → Other.

You’re using a 14-year old version. You might want to try a trial for the new version and see if it works. There is no way there will be a fix for CS6.