By Christina Cheddar Berk, CNBC News Editor

The corporate traveler is back, but high airfares are continuing to constrain consumer travel, according to Orbitz Worldwide (OWW) President and CEO Barney Harford.

"We're seeing a really good recovery, especially in corporate travel," Harford said in an interview Thursday on CNBC. "But generally, the travel industry is doing a lot better."

However, airfares continue to be high, potentially slowing the rebound in consumer travel, he added.

The average price of an airline ticket is up as much as 10 percent for travel within the U.S., and some 17 percent for international travel, Harford said.

"We are seeing ... a moderation in the increases in air tickets that we were seeing in perhaps May and June, where we saw some really stronger increases in air tickets," Harford went on to say. "We're hopeful that we'll see an increase in capacity in the airline sector, which will drive some moderation in (the price of) airline tickets."

Airlines have been cutting capacity in recent years in order to get their costs under control after being hurt first by record-high fuel prices and then by a shrinking demand brought on by the recession. Even though conditions have improved, airlines have been slow to make changes.

Still, there are bargains to be found. For example, Caribbean distinations are one of the best value spots, according to Harford. This is mainly because airfares to the region are flat with year-ago levels.

Orbitz shares were trading higher Thursday after the company posted better-than-expected second-quarter earnings. Those results showed a 17 percent increase in the value of travel bookings compared with a year ago.

At the moment, Harford said, travel to major U.S. cities is showing the strongest growth, as those are the locations most visited by business travelers.

But considering that travelers are more focused on value, the company has been promoting its discount Web site CheapTickets.com with an ad campaign made cheaply through an online marketing effort where customers developed their own TV spots.
More from CNBC
Las Vegas Will Reinvent Itself
Did Texas Rangers Sell for Too Much?
Jerry Garcia Night Already a Success

CNBC is a world leader in business news, providing real-time financial market coverage and business information.

More from Stocks

One-on-One With Carnival Corporation CEO Arnold Donald (Watch)

One-on-One With Carnival Corporation CEO Arnold Donald (Watch)

Replay: Jim Cramer on the Markets, Tiffany, Micron Technology and Union Pacific

Replay: Jim Cramer on the Markets, Tiffany, Micron Technology and Union Pacific

Carnival CEO Arnold Donald: China Will Become the Largest Cruise Market

Carnival CEO Arnold Donald: China Will Become the Largest Cruise Market

Stocks Finish Higher After Release of Fed Minutes

Stocks Finish Higher After Release of Fed Minutes

Has Wall Street Completely Lost Its Mind on General Electric?

Has Wall Street Completely Lost Its Mind on General Electric?