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Hi, 

Please tell me if the following sentence is grammatically correct:

= Computers are becoming more and more important in human's life. (Is it correct to say 'human's life'? Or do we say 'human's lives'?)

Thank you. 
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"Humans' lives" is not very natural. Instead say people's lives.
Comments  
Computers are becoming more and more important in a human's life.

Human here is a human being.

I think this is OK.
Computers are becoming more and more important in the lives of human beings.

Just 'human' refers to man or mankind and so human's lives sounds odd to me.
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 AlpheccaStars's reply was promoted to an answer.

they are becoming more important to human life.

You were all told earlier that natural English is to talk about people's lives, not humans' lives.

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Incorrect