Kid CuDi has given up on a bitter custody battle with his baby’s mother over the full custody of their daughter.

According to TMZ, the former couple has been in a quiet legal war over the past year. CuDi explains that he purchased a home in Chicago, Illinois to be closer to his daughter and gave her “generous support,” but the child’s mother denies that claim, stating that he gave only “sporadic and inconsistent amounts” of support. She also accuses him of being an absentee father, as well as having violent tendencies and a “long history of consistent drug and alcohol abuse.”

On August 3rd, Cudders finally agreed to let the mother have full custody of the child. She is allowing him visitation rights and he will also pay child support.

[November 19]

UPDATE: Kid CuDi has addressed a report that he had given up on the custody battle for his daughter. In a statement released by the rapper and his lawyer, CuDi says that he and his baby’s mother reached an “amicable agreement” and that those details will not be revealed. Read the full statement below (via Complex).

There has been several reports that “Kid Cudi gives up full custody of daughter” which several gossip sites re-ran under the headline “Kid Cudi Gives Up Full Custody of His Daughter Due to ‘History of Violence and Drug Addiction.'” The statement that Kid Cudi gave up full custody due to a history of violence and drug addiction is simply false.

The truth is that in August 2012, Kid Cudi and his daughter’s mother jointly reached an amicable agreement on the issues of legal custody and parenting time. While Kid Cudi’s lawyer, Lauren Blair of the Chicago-based law firm, Pedersen & Houpt, will not comment on the details of the parties’ custody and parenting agreement, which are private, she did state that the final custody judgment in Kid Cudi’s case expressly acknowledges that “both parents are fit and proper persons to have custody of their child.”

Ms. Blair also made clear that allegations of a purported history of drug and alcohol use and violent behavior that were made in the early stages of the case were based on “stale” information from internet videos, interviews and other “unreliable hearsay sources” about alleged isolated incidents with unrelated persons as far back as December 2009, June 2010 and July 2010. In fact, Kid Cudi voluntarily agreed to take a drug test to dispute those allegations and to dispel any notion that he was unfit to parent based on allegations of illegal drug use, and the test results came back negative for drugs.

According to Ms. Blair, “Those pleadings did not contain a single allegation that the mother ever personally observed Kid Cudi using drugs or alcohol, or acting violent, and there was certainly never any allegation during the entire case that Kid Cudi engaged in any kind of illegal substance use or violence in the presence of his daughter, nor was Kid Cudi ever shown to be unloving, uninvolved or in any way a danger or threat to his child.”

Kid Cudi was also never proven to be an “absentee dad” or a deadbeat dad who didn’t want to be involved in his child’s life or tried to shirk his parental obligations. The court formally acknowledged that Kid Cudi had, since his daughter’s birth, “attempted to establish a relationship with the child and visit with the child when not on tour, or when he is in Chicago or in the state of Ohio where both parties are originally from.” The court also recognized that Kid Cudi had voluntary provided financial support, including child support, rent and other monthly payments, for his daughter since her birth until the time that a child support order was entered as part of the normal course of the case.

As for the parties’ custody agreement, it was just that: the parties’ agreement. Ms. Blair explained “We don’t use the term ‘full custody’ in Illinois, so I don’t know what that means, but in Illinois, a parent can still be highly involved in his or her child’s life and have extensive parenting time as well as other significant parental rights without being awarded custody.”

Her final comment was “Both parties, as well as the judge and the parties’ lawyers, worked very hard over many months to reach an amicable resolution because everyone saw that it was in the child’s best interest to do so and saw two parents who both deeply love and care about their child.”

RELATED: Kid Cudi Says He Lost His Mind But Found It, Details “indicud” & “Man On the Moon III”