timesyncd is installed by default on Ubuntu 18 and Ubuntu 20.
Verify timesyncd is running
Verify systemd-timesyncd, the systemd unit, is active and running.
$ systemctl status systemd-timesyncd
● systemd-timesyncd.service - Network Time Synchronization
Loaded: loaded (/lib/systemd/system/systemd-timesyncd.service; enabled; vendor preset: enabled)
Active: active (running) since Sun 2020-07-12 11:13:42 UTC; 10h ago
Docs: man:systemd-timesyncd.service(8)
Main PID: 789 (systemd-timesyn)
Status: "Initial synchronization to time server 91.189.89.199:123 (ntp.ubuntu.com)."
Tasks: 2 (limit: 38364)
Memory: 2.5M
CGroup: /system.slice/systemd-timesyncd.service
└─789 /lib/systemd/systemd-timesyncd
Jul 12 11:13:42 cocoon systemd[1]: Starting Network Time Synchronization...
Jul 12 11:13:42 cocoon systemd[1]: Started Network Time Synchronization.
Jul 12 11:13:49 cocoon systemd-timesyncd[789]: Network configuration changed, trying to establish connection.
Jul 12 11:13:49 cocoon systemd-timesyncd[789]: Network configuration changed, trying to establish connection.
Jul 12 11:14:19 cocoon systemd-timesyncd[789]: Initial synchronization to time server 91.189.89.199:123 (ntp.ubuntu.com).
Verify the process is running
$ ps aux | grep timesyncd
systemd+ 789 0.0 0.0 90388 6344 ? Ssl 11:13 0:00 /lib/systemd/systemd-timesyncd
jurn 2620 0.0 0.0 6432 728 pts/0 S+ 21:43 0:00 grep --color=auto timesyncd