Parrikar, former Chief Minister, resigned as the MLA last year after becoming the Union Defence Minister.
The polling gathered momentum by afternoon crossing 50 per cent mark but slowed down in last phase.
The aggregate voting was 71.2 per cent, against the expected 75 per cent.
Joint chief electoral officer Narayan Navti said no untoward incident was reported and the voting was peaceful.
BJP's Siddharth Kuncolienkar, Congress's Surendra Furtado and independents Samir Kelekar and Sadanand Vaigankar were in the fray.
During the 2012 Legislative Assembly elections, the constituency had witnessed 77.13 per cent voting.
Counting would be held on March 16 at Entertainment Society of Goa (ESG) premises.