Despite the scoreline, apart from a couple of nervy moments, they always looked like picking up the win.
Scotland's next and final qualifier is away to Iceland on 20 September.
Love on the scoresheet
Anna Signeul made two changes from the team that lost to Iceland, with Caroline Weir replacing Leanne Crichton and Hayley Lauder replacing the injured Emma Mitchell.
Scotland started quickly, delivering a series of crosses that the Belarusian defence was able to clear while Weir tested the keeper.
But, when Scotland won a free-kick on the right-wing, they took the lead. Lisa Evans whipped a dangerous ball into the six-yard area, where Love met it with a diving header to score her sixth goal of the campaign.
If Scotland were thinking it was 'match won', Belarus soon gave them a warning. A through-ball from midfield found Yuliya Duben free on the right, but luckily for Scotland she shot into the side-netting.
However, it was still Scotland who were on top. A good passing move made room for Weir to shoot on the edge of the box, but once again Natalia Voskobovich made a good save.
And then the visitors had two great chances in a matter of seconds. Great play from Lauder saw her break into the box and cut-back to Kim Little who, from eight yards out, tried to curl it into the top-right corner only to be denied by Voskobovich's flying save. The ball was recycled back to Lauder whose shot across goal crept agonisingly wide of the far post.
Just before half-time, there was another warning sign for Scotland as Belarus worked the ball around Scotland's defensive third, but the eventual shot from Ekaterina Avkhimovich was too weak to trouble Gemma Fay.
Erin Cuthbert debut
Signeul made one change at half-time, giving a debut to Glasgow City's 17-year old Erin Cuthbert.
Early on in the second half, both Evans and Kirsty Smith delivered dangerous crosses from the right, but both times Voskobovich managed to parry clear.
And then, after a corner was initially cleared, Scotland worked the ball back into the Belarus' box where Jane Ross' powerful shot produced a great save from the keeper.
Once again, Belarus managed to open Scotland up on the counter. This time, Anastasia Shuppo was found in space down the left, but her shot just went wide of the far post.
But then, after three minutes of possession in the Belarus' half without carving them open, Smith came close with a 30-yard driven save that Voskobovich saved low down.
Cuthbert nearly scores
Erin Cuthbert came close to a debut goal, seeing her 30-yard dipping shot superbly tipped over by the keeper. Jennifer Beattie tried to go one better from a similar distance, but once more, the Belarusian keeper was equal to it.
Late on, Cuthbert again came close to a debut goal. Picking the ball up deep, she ran through the Belarusian midfield and into the box, but the keeper produced a great save to deny her.
While the Scots will be disappointed not to have added to the scoreline, the three points are what matter and that's what they got.