diff --git a/demos/database.php b/demos/database.php
index 8cdc8c656f..bd06bafdad 100644
--- a/demos/database.php
+++ b/demos/database.php
@@ -26,7 +26,7 @@ public function init()
             $this->addField('name', ['actual' => 'nicename', 'required' => true, 'type' => 'string']);
             $this->addField('sys_name', ['actual' => 'name', 'system' => true]);
 
-            $this->addField('iso', ['caption' => 'ISO', 'required' => true, 'type' => 'string']);
+            $this->addField('iso', ['caption' => 'ISO', 'required' => true, 'type' => 'string', 'ui'=>['table'=>['sortable'=>false]]]);
             $this->addField('iso3', ['caption' => 'ISO3', 'required' => true, 'type' => 'string']);
             $this->addField('numcode', ['caption' => 'ISO Numeric Code', 'type' => 'number', 'required' => true]);
             $this->addField('phonecode', ['caption' => 'Phone Prefix', 'type' => 'number', 'required' => true]);
diff --git a/docs/grid.rst b/docs/grid.rst
index 8518fa64ab..d3c92dbb15 100644
--- a/docs/grid.rst
+++ b/docs/grid.rst
@@ -167,8 +167,8 @@ Sorting
 When grid is associated with a model that supports order, it will automatically make itself sortable. You can
 override this behaviour by setting $sortable property to `true` or `false`.
 
-Additionally you may set list of sortable fields to a sortable property if you wish that your grid would be
-sortable only for those columns.
+You can also set $sortable property for each table column decorator. That way you can enable/disable sorting
+of particular columns.
 
 See also :php:attr:`Table::$sortable`.
 
diff --git a/public/agileui.less b/public/agileui.less
index 61bd916dca..ab18090682 100644
--- a/public/agileui.less
+++ b/public/agileui.less
@@ -125,6 +125,10 @@ footer.atk-footer {
   }
 }
 
+.ui.sortable.table thead th:not(.sortable) {
+    cursor: default;
+}
+
 // Components
 
 .atk-overflow-auto {
diff --git a/src/Grid.php b/src/Grid.php
index a7b9ca0ea2..4b72a83efe 100644
--- a/src/Grid.php
+++ b/src/Grid.php
@@ -601,7 +601,7 @@ public function addUserAction(Generic $action)
      */
     public function getSortBy()
     {
-        return isset($_GET[$this->sortTrigger]) ? $_GET[$this->sortTrigger] : null;
+        return $_GET[$this->sortTrigger] ?? null;
     }
 
     /**
@@ -639,7 +639,7 @@ public function applySort()
 
         $this->table->on(
             'click',
-            'thead>tr>th',
+            'thead>tr>th.sortable',
             new jsReload($this->container, [$this->sortTrigger => (new jQuery())->data('sort')])
         );
     }
diff --git a/src/TableColumn/Generic.php b/src/TableColumn/Generic.php
index ca88752c0f..51681c357e 100644
--- a/src/TableColumn/Generic.php
+++ b/src/TableColumn/Generic.php
@@ -39,6 +39,13 @@ class Generic
      */
     public $caption = null;
 
+    /**
+     * Is column sortable?
+     *
+     * @var boolean
+     */
+    public $sortable = true;
+
     /**
      * The data-column attribute value for Table th tag.
      *
@@ -309,7 +316,7 @@ public function getHeaderCellHTML(Field $field = null, $value = null)
         $caption = $this->caption ?: $field->getCaption();
 
         $attr = [
-            'data-column' => $this->columnData
+            'data-column' => $this->columnData,
         ];
 
         $class = 'atk-table-column-header';
@@ -321,9 +328,14 @@ public function getHeaderCellHTML(Field $field = null, $value = null)
             $caption = [$this->headerActionTag, $caption];
         }
 
-        // If table is being sorted by THIS column, set the proper class
         if ($this->table->sortable) {
             $attr['data-sort'] = $field->short_name;
+
+            if ($this->sortable) {
+                $attr['class'] = ['sortable'];
+            }
+
+            // If table is being sorted by THIS column, set the proper class
             if ($this->table->sort_by === $field->short_name) {
                 $class .= ' sorted '.$this->table->sort_order;
 
diff --git a/src/TableColumn/Password.php b/src/TableColumn/Password.php
index 2cacacc8ba..32db7a10e7 100644
--- a/src/TableColumn/Password.php
+++ b/src/TableColumn/Password.php
@@ -7,6 +7,8 @@
  */
 class Password extends Generic
 {
+    public $sortable = false;
+
     public function getDataCellTemplate(\atk4\data\Field $f = null)
     {
         return '***';