DES MOINES — Troy Price, the beleaguered chairman of the Iowa Democratic Party, resigned on Wednesday, a week after overseeing the chaotic Iowa caucuses that embarrassed the state and national party and left Democrats open to accusations of incompetence by President Trump’s re-election campaign.

The Iowa Democratic Party failed to report any results from its first-in-the-nation presidential caucuses on Feb. 3 until the next afternoon. When it did report results, they were filled with errors. Even once the Iowa Democratic Party released what it said were full results, errors remained in the tabulations, and the campaigns of the two victors, former Mayor Pete Buttigieg of South Bend, Ind., and Senator Bernie Sanders, have both asked for a partial recanvass of the results.

Mr. Price, 39, has been the public face of the Iowa caucus debacle, as he has struggled to offer reassuring explanations about the integrity of the caucus reporting process and final results.

“While it is my desire to stay in this role and see this process through to completion, I do believe it is time for the Iowa Democratic Party to begin looking forward, and my presence in my current role makes that more difficult,” Mr. Price wrote in a letter to party officials. “Therefore, I will resign as chair of the Iowa Democratic Party effective upon the election of my replacement.”