Raj,
You mean that from 3 different soruce tables to three different destination tables?
I have done same kind of package before.
You can do this by Dataflow task.
Create 3 data source tasks and 3 destination tasks in same Data flow task and then connect them. They will execute in parellel.
If 3 different tables to single table then you can create a query and do that. But for this you should have one common column in all the 3 tables.