--- a/lisp/emacs-lisp/package.el
+++ b/lisp/emacs-lisp/package.el
@@ -739,6 +739,8 @@ defun package-untar-buffer (dir)
     (dolist (tar-data tar-parse-info)
       (let ((name (expand-file-name (tar-header-name tar-data))))
 	(or (string-match regexp name)
+	    ;; Ignore the pax_global_header entry.
+	    (eq 55 (tar-header-link-type tar-data))
 	    ;; Tarballs created by some utilities don't list
 	    ;; directories with a trailing slash (Bug#13136).
 	    (and (string-equal dir name)
@@ -1245,8 +1247,10 @@ defun package-tar-file-info ()
   "Find package information for a tar file.
 The return result is a `package-desc'."
   (cl-assert (derived-mode-p 'tar-mode))
-  (let* ((dir-name (file-name-directory
-                    (tar-header-name (car tar-parse-info))))
+  (let* ((dir-name
+	  ;; Take care of pax_global_header, if any.
+	  (or (file-name-directory (tar-header-name (car  tar-parse-info)))
+	      (file-name-directory (tar-header-name (cadr tar-parse-info)))))
          (desc-file (package--description-file dir-name))
          (tar-desc (tar-get-file-descriptor (concat dir-name desc-file))))
     (unless tar-desc
--- a/lisp/tar-mode.el
+++ b/lisp/tar-mode.el
@@ -479,10 +550,12 @@ defun tar-untar-buffer ()
             (message "Extracting %s" name)
             (if (and dir (not (file-exists-p dir)))
                 (make-directory dir t))
-            (unless (file-directory-p name)
-	      (let ((coding-system-for-write 'no-conversion))
-		(write-region start end name)))
-            (set-file-modes name (tar-header-mode descriptor))))))))
+	    ;; Ignore the pax_global_header entry.
+	    (unless (eq 55 (tar-header-link-type descriptor))
+	      (unless (or (file-directory-p name))
+		(let ((coding-system-for-write 'no-conversion))
+		  (write-region start end name)))
+	      (set-file-modes name (tar-header-mode descriptor)))))))))
 
 (defun tar-summarize-buffer ()
   "Parse the contents of the tar file in the current buffer."