Uterine cancers can occur in families due to the passage of a DNA mutation that causes an abnormality in the genes that helps them remain normal. The mutation that runs in some families that can increase this risk causes microsatellite instability (MSI). The hallmark of this is the syndrome of HNPCC, in which families will have affected members not only with uterine cancer, but also with colon cancers.
Unfortunately, the passing of this mutation is not something that can be prevented now, though work in the field of reproduction may change this in the future by allowing the studying of fertilized eggs (or embryos) and identifying normal versus abnormal embryos that harbor this mutation. By not implanting those that have the mutation, one can have a child with no increased risk of HNPCC. This is called preimplantation genetic analysis, but the field is still in development.