Hull continued to dominate in the latter stages of the half, however, with tries from Adam Walker (30 minutes) and Ade Gardner (33 minutes) further extending the home side's lead.
Broncos moved to within 12 of Hull in the early stages of the second half following a goal from Joshua Drinkwater and a try from Alex Foster.
Foster added his second try moments later, but Gardner's second try of the match and then Kevin Larroyer's first allowed Hull to move 26-16 ahead with little over 15 minutes remaining.
Burns registered his fourth goal of the match moments later, before Hull took charge of the latter stages, with Craig Hall's two tries and a second for Hodgson securing a comfortable win for the home side.
The defeat for Broncos means that the capital outfit have lost all 14 of their Super League games this season, while Hull recorded their sixth win of the season.