The simple answer is "YES" (the right to Dominicano nationality is automatically inherited at birth by any child of any Dominicano, both parents needn't be Dominicano but at least one Dominicano must be registered as a parent on the birth certificate for the birth country).
Just remember, any overseas birth MUST be registered both with the country of birth AND with the Embassy of the Dominican Republic IN the birth country. The embassy will require translations (into Spanish) of any non-Spanish birth registration documents and you willneed to ask the Embassy for written details of what else you need to do (you will at least need to get the birth county's birth certificate legalised by a government office in the birth country!). THEN, you MUST legalise the documents the Embassy provided and this HAS to be done in the Dominican Republic. The process will require all the documents including those registering the birth (and legalising it) with the birth country. The good news is that this legalisation in the Dominican Republic is one of the few things one does in a Government office that is fairly easy to do!
There is no time limit on when you register the birth with the Dominican Republic's embassy. Although there is no time limit on when you legalise documents created overseas (including those form the Embassy), be aware that in general, Government offices consider any document that is older than 6 months to be dubious, so may not accept them! Sometimes you can sort his out with yet more legalisation and sometimes it needs new documents. So, if taking near to or longer than 6 months to legalise the papers, BEFORE you take them to Dominicana, get them re-stamped or legalised in the original Embassy (even if it means you have a long journey to do so).
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