According to page 115 of The Declaration of Indepence: A Global History, the original document was written by "an admirer of the work of Jefferson".

Louis Boisrond-Tonnerre then revised the declaration because "some... felt it was too passionless to serve its inspirational purpose".

Then, the night of December 31, 1803, Boisrond-Tonnerre wrote a new declaration that was directed to a domestic audience in Gonaives the following morning.

Source: Link

EDIT: Here is an English transcript of the Haitian Declaration of Independence. It states that it was given on January 1st in Gonaives, so this seems to match up with the source cited above.

Transcript: Link

EDIT2: And here's a PDF copy of the Haitian Declaration of Independence that lists Tonnerre as the "Secretaire".

Copy: Link

EDIT3: Here's a cited write-up that provides more detailed information on how the official declaration was received and edited:

"A first draft of a Declaration of Independence was presented, on December 31st of 1803, to General Jean-Jacques Dessalines, who had recently overseen the withdrawal of all French forces from colonial Saint-Domingue. Written by "an admirer of the work of Jefferson," it used the model of the U.S. Declaration independence to craft a document that "exposed all the rights of the black race, and the just complaints" the colonial population had against France. Dessalines, however, was dissatisfied with the document, believing it lacked the "heat and energy" required for the occasion. A young officer, Boisrond-Tonnerre, agreed with him, declaring: "In order to draw up our act of independence, we need the skin of a white to serve as a parchment, his skull as an inkwell, his blood for ink, and a bayonet for a pen." Dessalines concurred, and put the task of writing a new, more impassioned, version of the independence proclamation in his hands. He spent the night readying it for the ceremonial proclamation of independence scheduled for the next day. In place of a positive declaration of rights, the document he wrote proclaimed a new Haitian identity by focusing on the need to erase, and avenge, the past of French colonialism."

Link