Is it correct to say "I don´t have" instead of "I haven´t got" ?
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Yes. In American English, "I don't have" is used most of the time. In British English, "I haven't got" is sometimes used.. Both are conversational.
In British English, "have" – with the "do" auxiliary – would be used to refer to something of habit or repetition, whereas "have got" would be used to talk about something happening at one point in time. Compare:
Do you often have meetings?
Have you got a meeting today?*
The same would be true of the negative:
I don't often have meetings.
I haven't got a meeting today.
In American English, "haven't got" is not as frequently used.
Rachel
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*Practical English Usage, by Michael Swan. Oxford University Press. 1995