Census Records from Akkerman

According to the Miriam Weiner Routes to Roots Foundation's web site (as of this date), there are records available in the Moldova National Archives.
http://www.rtrfoundation.org/srchresults2.asp?rbSearchBy=DMSearch&txtTown=akkerman&Town_Submit.x=43&Town_Submit.y=5&Town2=AKKERMAN&Town3=BELGOROD%20DNESTROVSKIY

Moldova National Archives
67b Gheorghe Asachi Street
Kishinev 277028, Republic of Moldova
Tel: 373/0422/73-58-27

Census records are available for the following years in the Moldova National Archives - 1834-1836; 1854-1859; 1874-1875

Fond/Opis/Delo - 151/1/30-30A, 39-46; 134/2/4, 12; 134/3/1040

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The Family History Library has Revision lists (census lists used to levy a poll tax) for the Akkerman district, 1834 - 1875, Bessarabia, Russia; later Cetatea-Albă, Romania; now Bilhorod-Dnistrovs′kiĭ, Odesa, Ukraine. These lists provide social estate, age, full name, place of birth, residence and presence of children of both genders. Text in Russian. These are microfilms of the records in the Central State Historical Archive in Moldove.
Фонд 134, опись 2, дела 42, 67, 134, 150, 180-193, 238, 301, 310-312, 338, 342-344, 448-473, 540, 575-576, 603, 624, 626-629, 638-645, 689, 761-766, 769-773, 833.
http://www.familysearch.org/Eng/Library/fhlcatalog/supermainframeset.asp?display=titledetails&titleno=1231446&disp=%D0%A0%D0%B5%D0%B2%D0%B8%D0%B7%D1%81%D0%%20%20&columns=*,0,0