The Caley Jags hit the woodwork four times against the lowly Jambos but were unable to break the stubborn resistance of Gary Locke's men.
It leaves Hughes still searching for his first home win as Inverness boss since taking over in December.
Greg Tansey had arguably the best chances of the game for Inverness, rattling the post in the first half then seeing a low drive in the second well saved by Hearts stopper Jamie MacDonald.
"We hit the woodwork four or five times," said Hughes.
"We could have won the game comfortably and on another day we might have.
"I felt in terms of the style we wanted to play, everything was there. We passed it and mixed it up well. The shape and energy was very good.
"We had a couple of efforts cleared off the line and the goalkeeper has made two or three great saves.
"I cannot be too disappointed because there were a lot of good performances out there."
Hearts manager Locke was pleased with the improvement his side showed from their last visit to the Tulloch Caledonian Stadium.
A brace from Billy Mckay at the end of August, in a game that also saw Jamie Hamill sent off, gave the Caley Jags the win on that day but Locke believes his team have come on leaps and bounds since.
"We came up to Inverness earlier in the season and got beat 2-0 where Inverness outplayed us," he said.
"You can see there's been a big change in the players, especially the younger ones who have come on a lot.
"It was difficult today with the conditions and I felt Inverness had the better of the first half but we had the better of the second.
"The players have shown determination all season long and you can see that where we might have made mistakes over the course of the season, we're not making as many now.
"All in all I think the draw was a fair result."
- Sports & Recreation
- Gary Locke