Is the owner of a Florida business or other premises legally responsible for injuries sustained in a slip and fall accident?

Yes, they are responsible under some circumstances, but not always responsible. Some people have a feeling that just because they fall on someone else's property, they're entitled to recover their damages from that fall. However, if you fell on your own two feet, or you weren't paying attention, or you fell under a situation where the condition was open and obvious, then you may not have a claim against the property owner or the business owner. However, if they are negligent in the conditions of the property, then perhaps you do have a claim against them, but you must prove that they had either actual or constructive knowledge of a dangerous condition or a foreign object or substance on the floor.