I have two same database on two different server, and I want to synchronize both database.
For example, If I do any process like Insert, Update, Delete, Alter, Drop, etc it also reflect on other database automatically.
I had tried it on my local server, but every time I have to do it manually.
Is there any way to do it automatically, suppose I Insert a record and it automatically inserted into other database.
The "synchronisation" feature you are looking for is called Replication.
A replication can be set up between a master and a slave machine.
It does not rely on a constant connection, but stores all changes on the master and replays all those changes on the slave once a connection is established.
What you're talking about is called 'Replication'.
If you are going to be making changes to both databases and expect it to show up in the other, you need a Master/Master pair.
Have a read about it here: https://dba.stackexchange.com/questions/9424/best-way-to-setup-master-to-multi-master-replication
MySQL Master Master replication.