David Ostrom, 40, has requested trial by combat with Japanese swords.
"I think I've met Mr Hudson's absurdity with my own absurdity", Ostrom said, adding that his former wife could choose Hudson to act as her champion.
He asked the Iowa District Court to give him 12 weeks to find katana and wakizashi swords for his requested battle, per the Carroll Times Herald, which first reported the request.
The right for trial by combat was inherited from British common law, which served as the basis of the United States legal system.
The judge had the power to let the parties "resolve our disputes on the field of battle, legally", David Ostrom said, adding in his filing that trial by combat "has never been explicitly banned or restricted as a right in these United States".
Japanese swordsmith Fusahiro Shimojima working on new sword.
David lives in Paola, Kansas, while Bridgette lives in Harlan, Iowa, where the court battle is unfolding.
Paula Ostrom's attorney Matthew Hudson did not respond to a request for comment from Newsweek.
"Surely [Ostrom] meant "corporeal" bodies which Merriam Webster defines as having, consisting of, or relating to, a physical material body", Hudson wrote in his response. "Although (Ostrom) and potential combatant do have souls to be rended, they respectfully request that the court not order this done".
David Ostrom said his motion also stemmed from frustration with Hudson, who argued that because a duel could end in death, "such ramifications likely outweigh those of property tax and custody issues".
"It should be noted that just because the US and Iowa constitutions do not specifically prohibit battling another person with a deadly katana sword, it does prohibit a court sitting in equity from ordering same", Hudson wrote.
Ostrom later admitted to misspelling the word but argued that he did not have any mental health issues.
"Respondent and counsel have proven themselves to be cravens for refusing the answer the call of battle", he wrote.
Dreismeier's response is not a rejection of Ostrom's proposal and it was unclear what steps needed to be followed for the case to proceed.
He asked the court to order Ostrom undergo psychological treatment.
Mr Ostrom has also admitted that he has no experience in sword fighting, which is a unusual admission when you're literally requesting just that.
"I don't think he has the guts to do it", Ostrom said.