Nowadays. the paradigms, namely the object-oriented language and the logic programming language, are two attractive knowledge programming languages. However, a generally accepted answer to the question “How to combine the logic-with the object-oriented paradigm for complex knowledge processing?” is still to be given. In this paper, a new model SCKE has been proposed towards combining the logic-with the object-oriented paradigm of computing. It is intended to introduce the concepts that are typical for the object-oriented systems in the logic-oriented paradigm, without losing its advantages as a declarative language. An extensive Herbrand interpretation for SCKE model has been defined to interpret uniformly the logic semantics and the object-oriented semantics. SCKE model has been implemented on SUN separately by the following three methods：precompiling-based meta-level extension, interpreting execution and compiling execution. Finally, the features of SCKE model have been discussed.