The deceased was identified as Parvin, 35.
Md Bacchu Mia, inspector of DMCH police outpost, said Parvin had suffered 90 percent burns.
She succumbed to her injuries around 8am.
Fire Service and Civil Defence control room said the fire broke out at the slum on Mirpur-7 road around 4:11am and spread rapidly. It was extinguished around 9am.
Locals said more than 100 shanties were gutted in the fire.
A portion of the slum in Chalantika was destroyed in fire in August last year.