I tried to call from child object a parent attribute
var parentObj = {  
   attr1:1,  
   attr2:2,   
   childObj:{  
      method1:function(){  
         return this.attr1 * this.attr2;  
      }  
   }  
}
but it doesn't work.
I tried to call from child object a parent attribute
var parentObj = {  
   attr1:1,  
   attr2:2,   
   childObj:{  
      method1:function(){  
         return this.attr1 * this.attr2;  
      }  
   }  
}
but it doesn't work.
Try referencing parentObj directly:
var parentObj = {  
   attr1: 1,  
   attr2: 2,   
   childObj: {  
      method1: function () {  
         return parentObj.attr1 * parentObj.attr2;  
      }  
   }  
}
 
    
    This can be done with the power of closures!
var Construct = function() {
    var self = this;    
    this.attr1 = 1;
    this.attr2 = 2;
    this.childObj = {
        method1: function () {
            return self.attr1 * self.attr2
        }
    }
}
var obj = new Construct();
var parentObj = {  
    attr1:1,  
    attr2:2,   
    childObj:{  
       method1:function(){  
          return this.parent.attr1 * this.parent.attr2;  
       }  
    },  
    init:function(){
       this.childObj.parent = this;
       delete this.init;
       return this;
    }  
}.init();  
 
    
    This is an another approach without referencing the parent object's name.
var parentObj = {
    attr1: 1,
    attr2: 2,
    get childObj() {
        var self = this;
        return {
            method1: function () {
                return self.attr1 * self.attr2;
            }
        }
    }
}
Can be accessed as:
parentObj.childObj.method1(); // returns 2
 
    
    There is a problem with referencing parent object my name because it breaks the app in case you rename it. Here is nicer approach, which I use extensively, where you pass the parent as an argument to the child init method:
var App = { 
  init: function(){    
    this.gallery.init(this);   
  },
  somevar : 'Some Var'
}
App.gallery = {
  init: function(parObj){
    this.parent = parObj;
    console.log( this.parent.somevar );  
  }
}
App.init();
