It had filed a similar missive against Myanmar three months ago.
The disputes require urgent solution because of the race for the hydrocarbons in the Bay of Bengal.
"We have submitted our objection to the maritime commission of the UN on Oct 29," Bangladesh's permanent representative to the UN M A Momen told New Age newspaper over phone on Monday.
India submitted its claim on maritime boundary to the CLCS in May 2009, one month ahead of its deadline.
Bangladesh lodged its objection to Myanmar's claim this Jul 2009.
Dhaka's disputes over territorial waters in the bay with both New Delhi and Yangon are in two areas, that of natural prolongation of the continental shelf and the baseline.
India argues that the course of the natural prolongation of continental shelf is from east to west while Bangladesh says it is from north to south.