Using SQL Server Management Studio with Windows 10 is supported, but you must install SQL Server 2012 or 2014 (or even the public preview version SQL Server 2016). SQL Server versions before 2012 are not supported. You can read more information on the topic from Microsoft here.
Before you install SQL Server on a computer that is running Windows 10, you must make sure that you fulfill the following minimum requirements, as appropriate for your situation.
For SQL Server 2014
For SQL Server 2012
Note Please check known setup issues when you install SQL Server 2012 on Windows 10.