Virgin Galactic customers have begun asking for refunds after the crash that killed a co-pilot during testing.
It is the first time any of the 800 people who signed up for the space flights have pulled out, despite 10 years of delays.
George Whitesides, the chief executive of Virgin Galactic, said it was "unsurprising" that some were now cautious about the project.
He insisted his resolve was "unshaken" and claimed that allowing wider access to space was still a "deeply worthy goal".
Before the accident, Virgin founder Sir Richard Branson said the first space tourism flights would begin in [the northern] spring next year.