IN THIS PAPER, THE RELIABILITY ANALYSIS OF THE offshore PLATFORM STRUCTURES IS DESCRIBED. THE STRUCTURES ARE UNDER THE PRESSURE OF VARIOUS IMPOSED LOADS AND ALSO UNDER THE NON-GAUSSIAN DYNAMIC WIND AND WAVES CHARGES. IN ORDER TO PERFORM THE ANALYSIS, A METHOD BASED UPON THE NOTION OF OUT-CROSSING IS USED WITH THE DIRECTIONAL SIMULATION IN THE LOADING AREA IS PROPOSED. PRECISE AND DEFINITE RESULTS OF ACCIDENTAL GAUSSIAN PROCESSES WERE USED BY REPETITION TO ESTIMATE THE OUTCROSSING RATE OF NON-GAUSSIAN PROCESSES OF WAVE AND WIND CHARGES, AND FINALLY THE STRUCTURES DESTRUCTION POSSIBILITY WITHIN A PARTICULAR PERIOD WILL BE FOUND. IN ORDER TO EVALUATE THE RESULTS GAINED BY THE MENTIONED STRATEGY, THE ACCIDENTAL PROCESSES OF WIND AND WAVE CHARGES ARE PRODUCED BY USING THE MONTE CARLO SIMULATION METHOD AND BY IMPLEMENTING THIS METHOD ON THE STRUCTURES THE POSSIBILITY OF THE STRUCTURES DESTRUCTION WILL BE RESOLVED. UNFORTUNATELY, AS EXPECTED, THE SIMULATION OPERATION OF THE PROCESSES INVOLVED IN THE STRUCTURES ANALYSIS IS VERY COSTLY IN THE POINT OF VIEW OF TIME AND MASS AMOUNT AND THERE ARE SOME LIMITS TO ITS IMPLEMENTATION. IN THE FOLLOWING SAMPLE, IT WILL BE INDICATED THAT THE ACCURACY OF THE PROPOSED STRATEGY OF CALCULATING THE POSSIBILITY OF THE STRUCTURES DESTRUCTION BY THE NOTION OF OUTCROSSING AND USING THE MENTIONED APPROXIMATION ARE COMPLETELY COMPATIBLE WITH THE RESULTS OF THE MONTE CARLO SIMULATION. ALSO, THE CALCULATION OPERATION VOLUME NEEDED IN THE PROPOSED METHOD IS MUCH LESS THAN THE MENTIONED SIMULATION METHOD.