First, make sure that all of the latest patches are installed.

sudo apt-get update
sudo apt-get dist-upgrade
sudo reboot

Configure Firewall:

sudo ufw allow ssh
sudo ufw allow http
sudo ufw allow 10051/tcp
sudo ufw enable

1. Install the NGINX web server and the PHP application engine.
2. Download and extract the source.

   cd /tmp
    
   sudo groupadd zabbix
   sudo useradd -g zabbix zabbix
    
   sudo mkdir /opt/zabbix
   sudo chown zabbix:zabbix /opt/zabbix
    
   wget https://superb-sea2.dl.sourceforge.net/project/zabbix/ZABBIX%20Latest%20Stable/3.2.3/zabbix-3.2.3.tar.gz
    
   tar zxvf zabbix-3.2.3.tar.gz

3. Install and create the database:

   sudo apt-get -y install postgresql postgresql-contrib
    
   sudo -u postgres psql
   \password postgres
   \q
    
   sudo -u postgres createuser -D -A -P zabbix
   sudo -u postgres createdb -O zabbix zabbix
    
   cd /tmp/zabbix-3.2.3/database/postgresql/
   sudo -u zabbix psql -U zabbix zabbix < schema.sql
   sudo -u zabbix psql -U zabbix zabbix < images.sql
   sudo -u zabbix psql -U zabbix zabbix < data.sql
    
   sudo cp /etc/postgresql/9.5/main/pg_hba.conf /tmp/pg_hba.conf
   sudo chmod 777 /tmp/pg_hba.conf
   cat >> /tmp/pg_hba.conf << EOF
   host  zabbix  zabbix  127.0.0.1  255.255.255.255  trust
   EOF
   sudo chmod 640 pg_hba.conf
   sudo cp /tmp/pg_hba.conf /etc/postgresql/9.5/main/pg_hba.conf
   sudo systemctl restart postgresql

4. Compile and Install Server:

   sudo apt-get -y install build-essential libpq-dev libxml2-dev snmp snmp-mibs-downloader \
       libsnmp-dev libssh2-1-dev libopenipmi-dev libcurl4-openssl-dev
    
   cd /tmp/zabbix-3.2.3/
    
   ./configure --prefix=/opt/zabbix --enable-server --with-postgresql --with-ssh2 \
               --enable-agent --enable-ipv6 --with-net-snmp --with-libcurl \
               --with-libxml2 --with-openipmi --with-openssl
   make
    
   sudo make install

5. Configure the database configuration:

   sudo sed -i 's/# DBPassword=/DBPassword=PASSWORD/g' /opt/zabbix/etc/zabbix_server.conf
   sudo sed -i 's/# DBPort=3306/DBPort=5432/g' /opt/zabbix/etc/zabbix_server.conf
   sudo sed -i 's/LogFile=\/tmp\/zabbix_server.log/LogFile=\/var\/log\/zabbix_server.log/g' /opt/zabbix/etc/zabbix_server.conf
   sudo sed -i 's/# LogFileSize=1/LogFileSize=512/g' /opt/zabbix/etc/zabbix_server.conf

6. Configure and start Zabbix Server

   cat > /tmp/zabbix-server.service << EOF
   [Unit]
   Description=Zabbix Server
   After=syslog.target network.target
    
   [Service]
   Type=oneshot
   ExecStart=/opt/zabbix/sbin/zabbix_server -c /opt/zabbix/etc/zabbix_server.conf
   ExecReload=/opt/zabbix/sbin/zabbix_server -R config_cache_reload
   RemainAfterExit=yes
   PIDFile=/tmp/zabbix_server.pid
    
   [Install]
   WantedBy=multi-user.target
   EOF
    
   sudo mv /tmp/zabbix-server.service /etc/systemd/system/
    
   sudo touch /var/log/zabbix_server.log
   sudo chown zabbix:zabbix /var/log/zabbix_server.log
    
   sudo systemctl enable zabbix-server
   sudo systemctl start zabbix-server

7. Update the web server configuration:

   sudo sed -i 's/post_max_size = 8M/post_max_size = 16M/g' /etc/php/7.0/fpm/php.ini
   sudo sed -i 's/max_execution_time = 30/max_execution_time = 300/g' /etc/php/7.0/fpm/php.ini
   sudo sed -i 's/max_input_time = 60/max_input_time = 300/g' /etc/php/7.0/fpm/php.ini
    
   sudo apt-get -y install php-pgsql php-bcmath php-mbstring php-gd php-xml
    
   sudo systemctl restart php7.0-fpm
    
   cd /tmp/zabbix-3.2.3/frontends/php
   sudo mkdir -p /opt/zabbix/frontend
   sudo cp -R * /opt/zabbix/frontend/
    
   cat > /tmp/zabbix << EOF
   server {
     listen 80;
     listen [::]:80;
    
     root /opt/zabbix/frontend;
    
     location / { 
       index index.php;
       error_page 403 404 502 503 504  /index.php;
       try_files \$uri \$uri/ index.php;
     }
    
     location ~ \.php\$ {
       include fastcgi_params;
       fastcgi_pass unix:/run/php/php7.0-fpm.sock;
       fastcgi_split_path_info ^(.+\.php)(/.+)$;
       fastcgi_param SCRIPT_FILENAME \$document_root\$fastcgi_script_name;
       fastcgi_param PATH_INFO \$uri;  # necessary for URL rewrite
       fastcgi_index index.php;
     }
    
     location ~ \.(jpg|jpeg|gif|png|ico)$ {
       access_log      off;
       expires         60d;
     }
   }
   EOF
    
   sudo mv /tmp/zabbix /etc/nginx/sites-available/
   sudo ln -s /etc/nginx/sites-available/zabbix /etc/nginx/sites-enabled/zabbix
    
   sudo chgrp -R www-data /opt/zabbix/frontend/conf
   sudo chmod -R g+w /opt/zabbix/frontend/conf
    
   sudo systemctl restart nginx

8. Navigate to the Zabbix frontend which should resemble http://fqdn. Default username/password is admin/zabbix.

1. At the welcome screen, Click Next Step.
   
2. All of the pre-requisites should pass… Click Next Step.
   
3. Select SQLite3 for the database type, and type /opt/zabbix/db/zabbix.db. Click Next Step.
   
4. For the server details, accept the defaults and click Next Step.
   
5. On the summary screen, click Next Step.
   
6. Click Finish and then you can log in.
   

You will need to add agents for Zabbix to monitor. The Zabbix website contains great documentation to getting started setting up users, hosts, and triggers.