as you may imagine the answer to your question is strongly dependent on the geometry of the problem you are trying to simulate in Abaqus. As a rule of thumb you should try to partition the geometry into simple, symmetrical (if possible) geometries and generate structured or sweep mesh. Moreover, the type of the elements you are using is also important. For example tetrahedral elements can be fitted in most geometries while hexahedra are more easily distorted. Finally, you should try to increase the number of elements used when approximating complex geometrical shapes in order to describe the original geometry with as much "perfect shaped" elements as possible.
You should explain your problem and model to get the right answer. Solution depends on the problem you try to simulate and the running level at which distortion error aborted the running process. As Mr. Karakalas and Mr. Pany mentioned, if distortion error appeared before starting Abaqus/Standard or Abaqus/Explicit running process, you should improve your mesh quality. But distortion errors in running process could have different reasons. For example if defined material properties were not suitable, considering problem loading, it would cause distortion error in running process (Imagine simulation of ballistic impact that lead to damage, just by defining elastic properties). Therefore you should explain the simulation and detail of running process better.