Sakhawat's 'paddy sheaf' bagged 968 votes in the two polling centres at Adarsha School next to Chasharha Eidgah Ground while Ivy's 'boat' secured 1,930 votes on Thursday.
Returning Officer Md Nuruzzaman Talukder announced the results of the Adarsha School centres at 7:30pm.
The voting at 174 centres in the city was held peacefully from 8am to 4pm.
Later he said, "The situation is still satisfactory. I haven't heard anything bad until now. I will wait until the results, and accept whatever judgement the people give."
Ivy became the first mayor of Narayanganj after it was made a city corporation in 2011 by defeating another heavyweight Awami League leader, AKM Shamim Osman.
Taimur Alam Khandaker, the BNP-backed candidate in that election, had withdrawn himself from the polls at the eleventh hour.
After the results started coming out in the evening, with Ivy in the lead, Sakhawat declined media requests for comment at around 8pm.
"I am not ready yet. I am gathering information and trying to contact the Election Commission. I will speak to you later," he said at the media cell and control room set up by the BNP.