The result leaves Villa 17th in the table and still searching for their first victory after three matches, having already suffered defeats against Brighton and Arsenal.
The Tigers, by contrast, maintained their unbeaten record and moved to second place with seven points from their opening three games.
Villa had the better of the opportunities but were unable to find a breakthrough. Nicolas Jackson headed Ian Maatsen's delivery narrowly wide inside two minutes, before Ross Barkley fired just off target from inside the area in the 25th minute.
Jackson was at the centre of a penalty appeal shortly before the interval after making contact with Hull defender Nobel Mendy while attempting to meet George Hemmings' cross. Referee Michael Oliver waved away Villa's claims, with VAR backing the decision.
John McGinn then squandered a promising chance early in the second half after Jackson picked him out unmarked in front of goal.
Hull nearly snatched the victory in the 65th minute when Mohamed Belloumi's curling effort beat goalkeeper Zion Suzuki but struck the crossbar.
Villa pressed for a late winner, yet it was Hull who came closest again. Mohamed-Ali Cho threatened to settle the contest, only for Suzuki to produce an important save in the 89th minute and preserve a point for the hosts.
Manchester City continued their perfect start to the Premier League season with a 1-0 win over Coventry City, while Tottenham Hotspur were held to a goalless draw by Nottingham Forest.
Edin Dzeko is looking forward to seeing his former Manchester City team-mate Vincent Kompany again when Schalke host Bayern Munich in the Bundesliga today.
Roberto de Zerbi has insisted that leaving Richarlison out of Tottenham's Premier League squad was not his decision, but came down to the player himself.
David Moyes admits Everton are facing the new Premier League season with a smaller squad than he wanted after a frustrating transfer window.
