SQL Server 2016 Management Studio Installation
One of the difference of SQL Server 2016 installation than it’s precedes is that Management Studio is not an available installation choice during SQL Server 2016 installation. This is possibly to make it explicit that there is no need to install client tools like Management Studio on the Server itself where SQL Server related services are running.
Please follow the steps of below video for steps on how to install SQL Server 2016 Management Studio.
Also please be advised that SQL 2016 Management Studio will work from SQL Server 2008 till SQL Server 2016. Please refer to https://msdn.microsoft.com/en-us/library/mt238290.aspx to download the installer and to know more details around SQL Server 2016 Management Studio.