diff --git a/crates/nu-command/src/filesystem/touch.rs b/crates/nu-command/src/filesystem/touch.rs
index f9e6cc10ed..f92e3ea4f7 100644
--- a/crates/nu-command/src/filesystem/touch.rs
+++ b/crates/nu-command/src/filesystem/touch.rs
@@ -1,8 +1,12 @@
 use filetime::FileTime;
-use nu_engine::command_prelude::*;
+use nu_engine::{command_prelude::*, current_dir};
+use nu_path::expand_path_with;
+use nu_protocol::NuGlob;
 
 use std::{fs::OpenOptions, path::Path, time::SystemTime};
 
+use super::util::get_rest_for_glob_pattern;
+
 #[derive(Clone)]
 pub struct Touch;
 
@@ -18,7 +22,11 @@ impl Command for Touch {
     fn signature(&self) -> Signature {
         Signature::build("touch")
             .input_output_types(vec![(Type::Nothing, Type::Nothing)])
-            .rest("files", SyntaxShape::Filepath, "The file(s) to create.")
+            .rest(
+                "files",
+                SyntaxShape::OneOf(vec![SyntaxShape::GlobPattern, SyntaxShape::Filepath]),
+                "The file(s) to create."
+            )
             .named(
                 "reference",
                 SyntaxShape::String,
@@ -58,7 +66,7 @@ impl Command for Touch {
         let mut change_atime: bool = call.has_flag(engine_state, stack, "access")?;
         let reference: Option<Spanned<String>> = call.get_flag(engine_state, stack, "reference")?;
         let no_create: bool = call.has_flag(engine_state, stack, "no-create")?;
-        let files: Vec<String> = call.rest(engine_state, stack, 0)?;
+        let files: Vec<Spanned<NuGlob>> = get_rest_for_glob_pattern(engine_state, stack, call, 0)?;
 
         if files.is_empty() {
             return Err(ShellError::MissingParameter {
@@ -105,8 +113,10 @@ impl Command for Touch {
                 })?;
         }
 
-        for (index, item) in files.into_iter().enumerate() {
-            let path = Path::new(&item);
+        let cwd = current_dir(engine_state, stack)?;
+
+        for (index, glob) in files.into_iter().enumerate() {
+            let path = expand_path_with(glob.item.as_ref(), &cwd, glob.item.is_expand());
 
             // If --no-create is passed and the file/dir does not exist there's nothing to do
             if no_create && !path.exists() {
@@ -119,7 +129,7 @@ impl Command for Touch {
                     .write(true)
                     .create(true)
                     .truncate(false)
-                    .open(path)
+                    .open(&path)
                 {
                     return Err(ShellError::CreateNotPossible {
                         msg: format!("Failed to create file: {err}"),
@@ -132,7 +142,7 @@ impl Command for Touch {
             }
 
             if change_mtime {
-                if let Err(err) = filetime::set_file_mtime(&item, FileTime::from_system_time(mtime))
+                if let Err(err) = filetime::set_file_mtime(&path, FileTime::from_system_time(mtime))
                 {
                     return Err(ShellError::ChangeModifiedTimeNotPossible {
                         msg: format!("Failed to change the modified time: {err}"),
@@ -145,7 +155,7 @@ impl Command for Touch {
             }
 
             if change_atime {
-                if let Err(err) = filetime::set_file_atime(&item, FileTime::from_system_time(atime))
+                if let Err(err) = filetime::set_file_atime(&path, FileTime::from_system_time(atime))
                 {
                     return Err(ShellError::ChangeAccessTimeNotPossible {
                         msg: format!("Failed to change the access time: {err}"),
diff --git a/crates/nu-command/src/filesystem/umkdir.rs b/crates/nu-command/src/filesystem/umkdir.rs
index 949e6ba794..5b8d8c33cd 100644
--- a/crates/nu-command/src/filesystem/umkdir.rs
+++ b/crates/nu-command/src/filesystem/umkdir.rs
@@ -1,10 +1,11 @@
-use nu_engine::command_prelude::*;
+use nu_engine::{command_prelude::*, current_dir};
 
-use std::path::PathBuf;
 use uu_mkdir::mkdir;
 #[cfg(not(windows))]
 use uucore::mode;
 
+use super::util::get_rest_for_glob_pattern;
+
 #[derive(Clone)]
 pub struct UMkdir;
 
@@ -39,7 +40,7 @@ impl Command for UMkdir {
             .input_output_types(vec![(Type::Nothing, Type::Nothing)])
             .rest(
                 "rest",
-                SyntaxShape::Directory,
+                SyntaxShape::OneOf(vec![SyntaxShape::GlobPattern, SyntaxShape::Directory]),
                 "The name(s) of the path(s) to create.",
             )
             .switch(
@@ -57,10 +58,10 @@ impl Command for UMkdir {
         call: &Call,
         _input: PipelineData,
     ) -> Result<PipelineData, ShellError> {
-        let mut directories = call
-            .rest::<String>(engine_state, stack, 0)?
+        let cwd = current_dir(engine_state, stack)?;
+        let mut directories = get_rest_for_glob_pattern(engine_state, stack, call, 0)?
             .into_iter()
-            .map(PathBuf::from)
+            .map(|dir| nu_path::expand_path_with(dir.item.as_ref(), &cwd, dir.item.is_expand()))
             .peekable();
 
         let is_verbose = call.has_flag(engine_state, stack, "verbose")?;
diff --git a/crates/nu-command/tests/commands/touch.rs b/crates/nu-command/tests/commands/touch.rs
index f5b3d6f611..d7f5cb875a 100644
--- a/crates/nu-command/tests/commands/touch.rs
+++ b/crates/nu-command/tests/commands/touch.rs
@@ -502,3 +502,16 @@ fn create_a_file_with_tilde() {
         assert!(files_exist_at(vec![Path::new("~tilde2")], dirs.test()));
     })
 }
+
+#[test]
+fn respects_cwd() {
+    Playground::setup("touch_respects_cwd", |dirs, _sandbox| {
+        nu!(
+            cwd: dirs.test(),
+            "mkdir 'dir'; cd 'dir'; touch 'i_will_be_created.txt'"
+        );
+
+        let path = dirs.test().join("dir/i_will_be_created.txt");
+        assert!(path.exists());
+    })
+}
diff --git a/crates/nu-command/tests/commands/umkdir.rs b/crates/nu-command/tests/commands/umkdir.rs
index ebb2b932ab..3ca1b3bdfb 100644
--- a/crates/nu-command/tests/commands/umkdir.rs
+++ b/crates/nu-command/tests/commands/umkdir.rs
@@ -123,6 +123,20 @@ fn creates_directory_three_dots_quotation_marks() {
     })
 }
 
+#[test]
+fn respects_cwd() {
+    Playground::setup("mkdir_respects_cwd", |dirs, _| {
+        nu!(
+            cwd: dirs.test(),
+            "mkdir 'some_folder'; cd 'some_folder'; mkdir 'another/deeper_one'"
+        );
+
+        let expected = dirs.test().join("some_folder/another/deeper_one");
+
+        assert!(expected.exists());
+    })
+}
+
 #[cfg(not(windows))]
 #[test]
 fn mkdir_umask_permission() {