Edit in JSFiddle

$(document).ready(function() {
    var max_fields      = 10; //maximum input boxes allowed
    var wrapper         = $(".input_fields_wrap"); //Fields wrapper
    var add_button      = $(".add_field_button"); //Add button ID
    
    var x = 1; //initlal text box count
    var availableAttributes = [
	  "account_address",
	  "account_address_city",
	  "account_address_country",
	  "account_address_state",
	  "account_address_street1",
	  "account_address_street2",
	  "account_address_zip",
	  "account_email",
	  "account_login",
	  "account_name",
	  "account_number",
	  "account_telephone"
    ];
    
    
    
    $(add_button).click(function(e){ //on add input button click
        e.preventDefault();
        if(x < max_fields){ //max input box allowed
            x++; //text box increment
            $(wrapper).append('<div><input type="text" name="mytext[]"/><a href="#" class="remove_field">Remove</a></div>'); 
            
            $(wrapper).find('input[type=text]:last').autocomplete({
                source: availableAttributes
            });	
            //add input box
        }
    });
    
    $(wrapper).on("click",".remove_field", function(e){ //user click on remove text
        e.preventDefault(); $(this).parent('div').remove(); x--;
    })
    
    $("input[name^='mytext']").autocomplete({
		source: availableAttributes
	});	
    
});

// autocomplete enablement
    
	
 
<div class="input_fields_wrap">
    <button class="add_field_button">Add More Fields</button>
    <div><input type="text" name="mytext[]"></div>
</div>