Since Ubuntu 22.04 it is possible to use systemd in an experimental state on WSL installations. This guide explains how you can easily set it up in just a few steps.

Setup Guide

  1. Install wsl-setup package, if its not already there.
sudo apt install wsl-setup
  1. Create a /etc/wsl.conf file (WSL Configuration Documentation):

For WSL comes with Windows 10/11:

[boot]
command="/usr/libexec/wsl-systemd"

For WSL Preview from MS Store in Windows 11:

[boot]
systemd=true
  1. Create /run/users/1000 and set user rights (optional: but was needed for snapd):
sudo mkdir -p /run/users/1000
sudo chown $USER:$GROUP /run/users/1000
  1. Relaunch wsl with following command from windows or set as launch option in your terminal:
wsl -e /usr/libexec/nslogin /bin/bash

Official Ubuntu Bug Report
Install Snippet