The Obama administration was represented on Sunday by the US ambassador to France, though Attorney General Eric Holder was in Paris for security meetings.
"It's fair to say we should have sent someone with a higher profile," White House spokesman Josh Earnest said.
The White House would not say why Mr Holder did not attend the march.
US Secretary of State John Kerry was on a long-planned trip to India on Sunday but now will visit France later this week.
Monday's admission of error seemed aimed at blunting criticism that the decision was tone deaf or disrespectful of the long US alliance with France, a country set on edge by three days of terror that resulted in 17 deaths.
US Attorney General Eric Holder, who was in Paris for security meetings, with French Interior Minister Bernard Cazeneuve. Holder did not stay for the march. Photo / AP
Mr Earnest suggested the elaborate security apparatus required for presidential travel prohibited US President Barack Obama, as well as Vice President Joe Biden, from travelling to Paris on relatively short notice.
"There's no doubt that had the president or vice president, on this very short time frame, gone to participate in this event that took place outdoors with more than a million people in attendance, that it would have significantly impacted the ability of those who attended the march to participate in the way they did yesterday," Mr Earnest said.
Planning for presidential travel overseas often begins months in advance, and security personnel typically arrive days ahead of Mr Obama.
However, trips are occasionally pulled together more quickly, including last year when Mr Obama traveled to South Africa for a memorial service following the death of Nelson Mandela. Vice presidents can also typically travel with a lighter security footprint.
Dozens of world leaders did attend the march in Paris Sunday, including Israeli Prime Minister Benjamin Netanyahu, Palestinian President Mahmoud Abbas, British Prime Minister David Cameron and German Chancellor Angela Merkel.
Mr Earnest said the march was a "remarkable display of unity" in the face of the attacks.
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