The 33-year-old reality star shared a photo of the footy ace, 43, holding baby Peggy and raged on Instagram: "Who do you think you are?"
He then claimed he arranged to visit Peggy after five months of them being apart, but the Beckhams changed their plans at the last minute.
Kris was seemingly left reeling when he saw a photo of David and his daughter and took to Instagram on Friday night.
He said: "Who do you think you are? I wait 5 months to finally be reunited with my daughter on her birthday only to be told to wait another week due to "family arrangements" "
The former Big Brother star followed his post with a series of hashtags and said: "#shameonyou #fathers4justice #iwontgiveup #youdontscareme"
Kris has shared photos of baby Peggy on Instagram, with fans sending him messages of supportKris revealed back in October that he had been left heartbroken by not being able to see his baby.
Joanne and Kris split in April and he said he had "stayed quiet too long" on his separation from Peggy.
Kris, who was close to David before the break-up, revealed he had put work commitments on hold to focus on trying to see his only child.
Speaking to the MailOnline outside his father Phil's home in Shrewsbury in Shropshire, the 33-year-old father-of-one said: "It is heartbreaking and it is a sensitive subject because of who the family is. But I just want to see my daughter."
The 2009 Big Brother housemate added that he was putting all his energy into "focusing on seeing my daughter".
The ex-boyfriend of Joanne begged in an Instagram post to see her and posted a picture of him cradling little Peggy with the caption: "I won’t stop until I get hold of you like this again.
"They can take you away from me but they can’t take away the special memories we made or stand in the way of us making more."
He added, cryptically, "Stayed quiet too long on this now!" and finished with the hashtag FathersForJustice.
When asked how long it had been since he saw his daughter, he replied: "I’m sorry I can’t say anymore."
In June, it was revealed exclusively by The Sun On Sunday that Joanne had split from Kris just six months after the birth of their first child.
She had called time on her relationship, with friends saying the pair were “barely speaking” and living separately.
A friend told us: “Joanne and Kris have had a really tough few months.
"Looking after a newborn knocked them for six, and dealing with the constant exhaustion and worry put a huge strain on their relationship.
“They were bickering more and more, and in the end decided to call it quits for the sake of their child.
"They have now unfollowed each other on social media and are focusing on being the best solo parents they can possibly be.”
The couple’s daughter Peggy was born last December, less than a year after they started dating, and Joanne previously gushed on her Instagram account about “love of her life” Kris, who previously dated Hollyoaks actress Jorgie Porter, and praised him for his support during the birth.
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