What is biblical view on curiosity? What is biblical view on curiosity? Is curiosity sin and therefore impossible for God?
One reference is rom.10:17 that tells that first proclaiming the gospel, hearing it and faith cometh, but before that you need to have curiosity or need aroused through advertisement by the media or what?
God is the creator, and He creates with purpose.  Curiosity is a feature of eternal design that God uses to compel mankind.   


  John 4:23,24 (NIV)
  Yet a time is coming and has now come when the true worshipers will worship the Father in the Spirit and in truth, for they are the kind of worshipers the Father seeks. God is spirit, and his worshipers must worship in the Spirit and in truth.”
  
  Luke 6:45 (NIV)
  A good man brings good things out of the good stored up in his heart, and an evil man brings evil things out of the evil stored up in his heart. For the mouth speaks what the heart is full of.


Curiosity, wonderment is contemplation or a consideration born from the heart of man. 


  Luke 12:34 (NIV)
  for where your treasure is, there your heart will be also.


The human heart holds our personal economy (the things that matter most).  When young lovers first encounter one another, curiosity naturally encourages discovery, discovery of a deeper love. 

This is especially true in regard to God.  God designed the human heart to esteem Him and naturally we should be curious about God and His will for our life.