1) Open your browser and visit
2) Right click the link for "Linux" and then click "copy link location"
3) Open a terminal window(Or Putty)
4) Download the latest version of BYOND for Linux:

wget [middle click]

middle click pastes the copied link, so your command should look something like this:

(but with the latest Linux version). Press enter to download the files.
5) Unzip the install files

unzip *

(If needed:)
sudo apt-get install unzip

6) Install BYOND. Here you have two options. You can either "source" BYOND for local use (can only be used by a single user and has some other limitations) or you can install BYOND as root for use by all users. You need to have administrator privileges to install BYOND for all users.
--- 6a) to install as root:
cd byond
sudo make install
[enter your password]
cd ..
rm -rf *byond*

--- 6b) to install for local use:
nano ~/.bashrc

add the line:
source /home/user/byond/bin/byondsetup

(You can install BYOND elsewhere if you like; just make sure you source "byondsetup", wherever it's located)
Ctrl-O to save; Ctrl-X to exit

8)Download the 32 bits architecture:
sudo dpkg --add-architecture i386
sudo apt-get update
sudo apt-get install libc6:i386 libncurses5:i386 libstdc++6:i386

Congratulations, you can now host games in Linux 64 bits! Simply navigate to the location of your host files and use the command:

DreamDaemon [yourgame].dmb [port] [options]

Thank to Gakumerasara for the basic installation instruction(Normal BYOND installation here: )

You can now follow his tutorials to host on the same link: