Ms Martin's lawyer, Ryan Wheeler, tweeted that Sir Christopher objected to the bill because it had "not been debated".
Why did Sir Christopher object?
By Mark D'Arcy, BBC parliamentary correspondent
Sir Christopher is a leading member of a group of backbench Conservatives who make a practice of ensuring that what they see as well-meaning but flabby legislation is not lazily plopped on to the statue book by a few MPs on a poorly attended Friday sitting.
And after all this is a bill to create a new criminal offence, for which people can go to jail.
So, however worthy the cause, he insists on proper, extensive scrutiny, and he has spent most Commons Fridays for the last 20 years doing just that.
Indeed, a few minutes before he blocked the upskirting bill, he was forcing a delay to the final debate on the Mental Health Units (Use of Force) Bill, or Seni's Law, which also had strong support from the government.
The upskirting bill is not dead - there will be other opportunities to get it a formal second reading debate - but they will only succeed if Sir Christopher and his allies can be persuaded not to object again.
The only other alternative is for the government to provide debating time for it, or, far more likely, to add the proposals to a bill of their own.