diff --git a/lisp/ol.el b/lisp/ol.el
index 21bd854e9..1837bf37c 100644
--- a/lisp/ol.el
+++ b/lisp/ol.el
@@ -605,6 +605,22 @@ (defvar org-link--insert-history nil
 (defvar org-link--search-failed nil
   "Non-nil when last link search failed.")
 
+
+(defvar-local org-link--link-folding-spec '(org-link
+                                            (:global t)
+                                            (:ellipsis . nil)
+                                            (:isearch-open . t)
+                                            (:fragile . org-link--reveal-maybe))
+  "Folding spec used to hide invisible parts of links.")
+
+(defvar-local org-link--description-folding-spec '(org-link-description
+                                                   (:global t)
+                                                   (:ellipsis . nil)
+                                                   (:visible . t)
+                                                   (:isearch-open . nil)
+                                                   (:fragile . org-link--reveal-maybe))
+  "Folding spec used to reveal link description.")
+
 
 ;;; Internal Functions
 
@@ -762,6 +778,13 @@ (defun org-link--normalize-string (string &optional context)
 		   (t nil))))
     string))
 
+(defun org-link--reveal-maybe (region _)
+  "Reveal folded link in REGION when needed.
+This function is intended to be used as :fragile property of a folding
+spec."
+  (org-with-point-at (car region)
+    (not (org-in-regexp org-link-any-re))))
+
 
 ;;; Public API
 
@@ -1444,14 +1467,31 @@ (defun org-previous-link ()
   (interactive)
   (org-next-link t))
 
+(defun org-link-descriptive-ensure ()
+  "Toggle the literal or descriptive display of links in current buffer if needed."
+  (if org-link-descriptive
+      (org-fold-core-set-folding-spec-property (car org-link--link-folding-spec) :visible nil)
+    (org-fold-core-set-folding-spec-property (car org-link--link-folding-spec) :visible t)))
+
 ;;;###autoload
-(defun org-toggle-link-display ()
+(defun org-toggle-link-display--overlays ()
   "Toggle the literal or descriptive display of links."
   (interactive)
   (if org-link-descriptive (remove-from-invisibility-spec '(org-link))
     (add-to-invisibility-spec '(org-link)))
   (org-restart-font-lock)
   (setq org-link-descriptive (not org-link-descriptive)))
+(defun org-toggle-link-display--text-properties ()
+  "Toggle the literal or descriptive display of links in current buffer."
+  (interactive)
+  (setq org-link-descriptive (not org-link-descriptive))
+  (org-link-descriptive-ensure))
+(defsubst org-toggle-link-display ()
+  "Toggle the literal or descriptive display of links."
+  (interactive)
+  (if (eq org-fold-core-style 'text-properties)
+      (org-toggle-link-display--text-properties)
+    (org-toggle-link-display--overlays)))
 
 ;;;###autoload
 (defun org-store-link (arg &optional interactive?)
diff --git a/lisp/org-agenda.el b/lisp/org-agenda.el
index 2802e8636..063da6566 100644
--- a/lisp/org-agenda.el
+++ b/lisp/org-agenda.el
@@ -2325,7 +2325,8 @@ (defun org-agenda-mode ()
 	  org-agenda-show-log org-agenda-start-with-log-mode
 	  org-agenda-clockreport-mode org-agenda-start-with-clockreport-mode))
   (add-to-invisibility-spec '(org-filtered))
-  (add-to-invisibility-spec '(org-link))
+  (org-fold-core-initialize `(,org-link--description-folding-spec
+                              ,org-link--link-folding-spec))
   (easy-menu-change
    '("Agenda") "Agenda Files"
    (append
diff --git a/lisp/org.el b/lisp/org.el
index ebc9d81db..5465ed3ea 100644
--- a/lisp/org.el
+++ b/lisp/org.el
@@ -4562,9 +4562,16 @@ (define-derived-mode org-mode outline-mode "Org"
   (setq-local org-mode-loading t)
   (org-load-modules-maybe)
   (org-install-agenda-files-menu)
-  (when org-link-descriptive (add-to-invisibility-spec '(org-link)))
+  (when (and org-link-descriptive
+             (eq org-fold-core-style 'overlays))
+    (add-to-invisibility-spec '(org-link)))
+  (org-fold-initialize (or (and (stringp org-ellipsis) (not (equal "" org-ellipsis)) org-ellipsis)
+                        "..."))
   (make-local-variable 'org-link-descriptive)
-  (add-to-invisibility-spec '(org-hide-block . t))
+  (when (eq org-fold-core-style 'overlays) (add-to-invisibility-spec '(org-hide-block . t)))
+  (if org-link-descriptive
+      (org-fold-core-set-folding-spec-property (car org-link--link-folding-spec) :visible nil)
+    (org-fold-core-set-folding-spec-property (car org-link--link-folding-spec) :visible t))
   (setq-local outline-regexp org-outline-regexp)
   (setq-local outline-level 'org-outline-level)
   (setq bidi-paragraph-direction 'left-to-right)