diff --git a/doc/reference/usermode/kernelobjects.rst b/doc/reference/usermode/kernelobjects.rst
index cab6b78feab..d9477c4d768 100644
--- a/doc/reference/usermode/kernelobjects.rst
+++ b/doc/reference/usermode/kernelobjects.rst
@@ -209,8 +209,8 @@ Some objects will be implicitly initialized at boot:
 * Device driver objects are considered initialized after their init function
   is run by the kernel early in the boot process.
 
-If a kernel object is initialized with a private static initializer, the
-object must have :c:func:`_k_object_init()` called on it at some point by a supervisor
+If a kernel object is initialized with a private static initializer, the object
+must have :c:func:`z_object_init()` called on it at some point by a supervisor
 thread, otherwise the kernel will consider the object uninitialized if accessed
 by a user thread. This is very uncommon, typically only for kernel objects that
 are embedded within some larger struct and initialized statically.
@@ -228,7 +228,7 @@ are embedded within some larger struct and initialized statically.
     };
 
     ...
-    _k_object_init(&my_foo.sem);
+    z_object_init(&my_foo.sem);
     ...
 
 
diff --git a/scripts/process_gperf.py b/scripts/process_gperf.py
index ac46fc7726c..e56a1071a93 100755
--- a/scripts/process_gperf.py
+++ b/scripts/process_gperf.py
@@ -83,7 +83,7 @@ def process_line(line, fp):
         return
 
     # Set the lookup function to static inline so it gets rolled into
-    # _k_object_find(), nothing else will use it
+    # z_object_find(), nothing else will use it
     if re.search(args.pattern + " [*]$", line):
         fp.write("static inline " + line)
         return