incentive for

Is it possible to use "an incentive for doing"?

I don't have an incentive for studying English.
or
I don't have an incentive to study English.

Yes. Those are correct. Both are correct, though "to infinitive" is more common.

I don't have an incentive for studying English. 👁 Tick :tick:

I don't have an incentive to study English. 👁 Tick :tick:

I would say "I don't have any incentive to study English."

Ivan_I said:

I don't have an incentive for studying English.
or
I don't have an incentive to study English.

The first one doesn’t sound right to me.

I agree that "I don't have any" is more natural than "I don't have an", especially when the meaning is "I have zero, as opposed to 1 or 2 or 5".

I think "an" is acceptable in the example sentences. I've heard/read "I don't have an incentive to..." many times. In those situations the comparison is zero/one, not zero/more-than-zero. It is the same syntax as:
- I don't have a car to drive to work.
- He doesn't have a home to live in.

But it is good to point out that "any" is better.