This guide is for installation of geant4.10.04 in ubuntu 18.04. However, it should work for all versions of geant4.
sudo apt-get update #Update the package lists
#Install pre-requisites
sudo apt-get install cmake gcc g++ expat libexpat1-dev default-jre default-jdk qt4-default cmake-qt-gui mesa-common-dev libglu1-mesa-dev libxmu-dev
#Download the latest geant4 source code from geant4 website
wget "http://cern.ch/geant4-data/releases/geant4.10.04.tar.gz"
#Extract the source code
tar -zxvf geant4.10.04.tar.gz
#Make a build folder and change to that folder
mkdir geant4build
cd geant4build
#Configure the installation
cmake -DGEANT4_BUILD_MULTITHREADED=ON -DGEANT4_INSTALL_DATA=ON -DGEANT4_USE_OPENGL_X11=ON -DGEANT4_USE_QT=ON ../geant4.10.04
#Install geant4
make -j4 #4 is the number of logical processors in my CPU. Change according to your CPU.
make install
Please email me if you find any error.