The former NBA star's filing comes months after Kardashian filed for the second time.
Lamar Odom has responded to Khloe Kardashian's divorce filing, citing irreconcilable differences in his official response on Friday.
The 32-year-old reality star filed for divorce for the second time on May 26, after previously appearing to give things another shot with the former Los Angeles Lakers player. Kardashian and Odom both signed off to withdraw their pending divorce petition in October 2015, so Khloe could serve as Odom's caretaker after his overdose. The 36-year-old was found unresponsive in a room at the Love Ranch Brothel in Crystal Ranch, Nevada, a couple weeks prior.
Kardashian first filed for divorce in December 2013 after three years of marriage, and although the two signed papers to end their marriage in July 2015, a judge never gave final approval on the documents.
The Keeping Up With the Kardashians star supported Odom throughout his recovery, and the couple appeared to be working on their marriage.
"Just building a friendship back is what I'm doing now," Kardashian explained on Kocktails With Khloe in February, adding that she wanted Lamar to "learn to love himself again" before becoming intimate. "The best dream would be like, okay, I hope that first marriage could happen again, but it’s really hard to erase everything that happened."
Odom, too, expressed similar sentiments on a recent episode of Keeping Up With the Kardashians, telling Kris Jenner that he'd "say his prayers" for a reconciliation.
WATCH: Lamar Odom Celebrates Easter with Khloe Kardashian and Family
However, Odom was spotted around several bars in early May, after sources said the basketball player promised not to drink again. "One thing is so clear -- Khloe would never get back with Lamar unless she knew 100 percent that he was maintaining his sobriety," a source told ET, before suggesting she would "soon" file for divorce again. "Him drinking again is a huge slap in the face."
Odom addressed rumors of divorce proceedings to ET's Kevin Frazier shortly before Kardashian filed again. "We did talk, you know, everything is [up for] discussion," he said. "We talk about anything. We've been through a lot. It won't ever stop."
According to Odom's recent filing, the former NBA star is not requesting spousal support, but did request that a judge terminate Kardashian's right to ask for alimony. He is also asking for all attorney's fees to be paid by the Keeping Up With the Kardashians star, while community assets are still being evaluated.
WATCH: Khloe Kardashian and Lamar Odom Warn Rob About Marrying Blac Chyna: 'Marriage Ain't Easy'
The couple married in September 2009, one month after they first met.