Hello, can I sue the apartment complex because 10 years daughter was walking and she slip on a banana slip and hit her mouth on the stairs bar.

Need to know more facts.

Yes, you have a case provided that you can prove that the accident happened in a common area in the apartment building, and that the banana peel was there for a sufficient amount of time to put the management on notice that it was a dangerous condition, but yet failed to take action to remove it. If a settlement is recovered in this case, keep in mind that the parents will not get the money, but rather it will be put into an annuity for the child to remain until she is the age of majority. Additionally, if all she has is a cut lip and no serious injuries that would require cosmetic surgery Or any injury that is long lasting and permanent, the damages probably are not worth pursuing a case, however you should retain counsel at least to investigate the matter with a view to taking it on contingency fee.