Tim Husbands said it is also essential that proper transport links are put in place for visitors to reach the site.
He was speaking to the BBC's Inside Business programme about growing Northern Ireland's tourism industry.
Mr Husbands took on the top job at Titanic Belfast a few months before the visitors' centre opened in 2012.
In its first year of operation, more than 800,000 people from 128 countries toured the east Belfast building - double the number it was expected to achieve.
Titanic Belfast welcomed its one millionth visitor in July 2013.
Mr Husbands has a wealth of experience in event management, spending 15 years in charge of Belfast's Waterfront Hall.
He also managed the Ulster Hall and help to stage a number of major events in the city, including the Tall Ships festival in 2009.
In 2014, he was awarded an MBE from the Queen for services to economic development and tourism.
Mr Husbands told Inside Business that, while there is no point creating attractions for the sake of it, parts of Northern Ireland outside Belfast need to be better served in terms of tourism and transport.
"There's no easy means of transporting people through from one city to another, from one region to another, and we need to encourage that," he said.
"You have to make it easy for the consumer, you have to make it easy for the guests.
"I'm not sure that we are mature enough as an industry to do that just yet."
Tim Husbands interview will be broadcast on BBC Radio Ulster as part of Inside Business at 13:30 GMT on Sunday 20 November.

A new free-to-view channel, Spike, will show the award-winning series in its entirety when it launches on Freeview, Freesat and Sky TV on 15 April.
The first two series of the show were broadcast on both FX and Five USA, but later dropped when they failed to win a significant audience.
Series three, four and five have never been shown on UK terrestrial TV.
Spike, which already exists in the US, will also be the first UK channel to show series five of The Walking Dead.
It will also bring US pop culture phenomenon Lip Sync Battle, hosted by LL Cool J, to British screens.
The series was created by, among others, British comedian Stephen Merchant and John Krasinki, star of the US version of The Office.
Merchant will also star as one of the participants in the series.
"Spike is a driven, high-energy channel offering a point of view and programme mix I think is different from anything else on British TV right now," said Ben Frow, Channel 5's Programme Director - who will oversee the new channel's editorial content.
Both Spike and Channel 5 are owned by Viacom International.
The critically acclaimed series Breaking Bad concluded in 2013. It won five Primetime Emmys last year, including best drama series and best actor for Bryan Cranston.

The Swedish giant asked customers who bought any model of the Mysingso chair to return it for a full refund.
The global recall comes after Ikea received reports from Finland, Germany, the US, Denmark and Australia that users had received injuries to their fingers that needed medical treatment.
Ikea's statement said the chair had a "risk of falling or finger entrapment".
It said: "After washing the fabric seat it is possible to re-assemble the chair incorrectly leading to risks of falls or finger entrapments.
"Ikea has received five incident reports in which a Mysingso beach chair collapsed during use due to incorrect re-assembly. All five reports included injuries to fingers and required medical attention.
It added that a full investigation had led to an improved design "to further mitigate the risks of incorrect re-assembly and injuries" and the updated chair would be available from next month.
Ikea has more than 300 stores in 27 countries.
Northern Ireland needs a major new tourist attraction outside Belfast, according to the chief executive of Titanic Belfast.
[NEXT_CONCEPT]
Cult US drama Breaking Bad is to be broadcast in full on UK terrestrial television for the first time.
[NEXT_CONCEPT]
Ikea is recalling a beach chair sold in the UK after reports that it can collapse and cause injury.