The installation shown below is for Debian based distros such as Ubuntu, Kali or Parrot OS.

Nuclei is used to send requests across targets based on a template, leading to zero false positives and providing fast scanning on a large number of hosts. Nuclei offers scanning for a variety of protocols, including TCP, DNS, HTTP, SSL, File, Whois, Websocket, Headless, Code etc.

Link ↓

1.- Clone Git Repository

┌──(kali㉿kali)-[~/nuclei/cmd/nuclei]
└─$ git clone https://github.com/projectdiscovery/nuclei.git

Cloning into 'nuclei'...
remote: Enumerating objects: 42145, done.
remote: Counting objects: 100% (3144/3144), done.
remote: Compressing objects: 100% (1406/1406), done.
remote: Total 42145 (delta 2050), reused 2472 (delta 1678), pack-reused 39001
Receiving objects: 100% (42145/42145), 27.34 MiB | 10.92 MiB/s, done.
Resolving deltas: 100% (29421/29421), done.

2.- Access the folder

┌──(kali㉿kali)-[~/nuclei/cmd/nuclei]
└─$ cd nuclei/cmd/nuclei

3.- Compile packages of the Nuclei

┌──(kali㉿kali)-[~/…/nuclei/nuclei/cmd/nuclei]
└─$ go build                                                
go: downloading github.com/projectdiscovery/goflags v0.1.54
go: downloading github.com/projectdiscovery/hmap v0.0.44
go: downloading github.com/projectdiscovery/ratelimit v0.0.43
go: downloading github.com/projectdiscovery/rawhttp v0.1.51
go: downloading github.com/google/shlex v0.0.0-20191202100458-e7afc7fbc510

4.- Move files to path /usr/local/bin/

┌──(kali㉿kali)-[~/…/nuclei/nuclei/cmd/nuclei]
└─$ sudo mv nuclei /usr/local/bin/

5.- We validate the installation by running the command

┌──(kali㉿kali)-[~/…/nuclei/nuclei/cmd/nuclei]
└─$ nuclei -version
[INF] Nuclei Engine Version: v3.2.8
[INF] Nuclei Config Directory: /home/kali/.config/nuclei
[INF] Nuclei Cache Directory: /home/kali/.cache/nuclei
[INF] PDCP Directory: /home/kali/.pdcp

Bonus

Update Nuclei

┌──(kali㉿kali)-[~/…/nuclei/nuclei/cmd/nuclei]
└─$ nuclei -up     

                     __     _
   ____  __  _______/ /__  (_)
  / __ \/ / / / ___/ / _ \/ /
 / / / / /_/ / /__/ /  __/ /
/_/ /_/\__,_/\___/_/\___/_/   v3.2.8

                projectdiscovery.io

[INF] nuclei is already updated to latest version

Update Templates (In case of having the templates, they will be installed)

┌──(kali㉿kali)-[~/…/nuclei/nuclei/cmd/nuclei]
└─$ nuclei -ut

                     __     _
   ____  __  _______/ /__  (_)
  / __ \/ / / / ___/ / _ \/ /
 / / / / /_/ / /__/ /  __/ /
/_/ /_/\__,_/\___/_/\___/_/   v3.2.8

                projectdiscovery.io

[INF] No new updates found for nuclei templates

And we finish!!

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Greetings and success