Since Jesus is God in flesh, our mediator (1 Tim. 2:5), this means that the intimacy we have with God is with Christ.  In fact, we are “called into fellowship with His Son, Christ Jesus,” (1 Cor. 1:9).  The word “fellowship” in Greek is “koinonia” which is translated in the KJV as “communion” in 1 Cor. 11 in reference to the communion supper.  It is interesting that communion is the place where we accept the ultimate vulnerability of God in Christ who humbled Himself by becoming susceptible to death.  In this, I think, is a clue to true intimacy with God:  humility.  Christ was humble to the point of death, so we too must be humble to the point of death; that is, death to ourselves, our selfish desires, our personal wants.  When compared to God, our purpose should not be to see what we can get from Him.  It should be to glorify Him and to love Him.  Pride seeks its own.  Humility seeks others.  Isn’t that what intimacy is, the seeking of another in the deepest sense?  How can we do this if we are proud?

Intimacy with God is a privilege freely given to us by Christ in His sacrifice on the cross.  He removed our sins so that we might dwell with God.  Therefore, if there is sin in your life it will hinder your fellowship, your intimacy with God.  Ask Jesus to reveal your sins to you so that you might repent of them and not hinder the fellowship of intimacy that God so lovingly desires with you.