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There are many ways to do most things. The more we know about 'how' you are trying to accomplish something, the easier it is to see where things went off track...

One day all problems look dumb. Then you realize anyone can make mistakes and you quit worrying about dumb problems and just call them bugs...
It is the new thing. All the cool kids do it.

I am thinking the problem is in how and when render is called. There is just not enough code here to offer specific advice.

Try some debugging and see where the bottleneck is. The drawing should...

I don't quite see the big picture from just the render method.

Explain more about what is lagging behind. Is it always lagging at a certain point? Is it always the same tile or same type or same...

Assuming you are using paintComponent (guessing from previous questions) include that method so we can see what is happening. If you are using something else (in addition to or in place of) then show...