A FATIGUED B767-200 CREW LOWERED THE LNDG GEAR AT 1000 FT ON APCH TO EGKK FOLLOWING AN ALL NIGHT INTL FLT.

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FLT TO EGKK ON VISUAL APCH TO RWY 26L; AT ABOUT 1000 FT AGL; HAD FLAPS 20 DEGS AND CAPT (PF) CALLED FOR 'GEAR DOWN; LNDG CHKLIST.' CAPT (PF) CALLED FOR 'FLAPS 30 DEGS;' FO COMMENTED SOMETHING ABOUT THE 'LNDG GEAR.' LONDON TWR CALLED ABOUT THE SAME TIME; ADVISING OUR LNDG GEAR WAS RETRACTED. AND WE SIMULTANEOUSLY GET AN AUDIO WARNING 'TOO LOW GEAR; TOO LOW FLAPS?' WE ADVISE EGKK WE ARE AWARE; CAPT CALLED FOR THE LNDG GEAR AGAIN (OR HE AT LEAST CALLED FOR THE CHKLIST AT 1000 FT AND THE GEAR WAS OVERLOOKED) AND THE GEAR WAS EXTENDED SOMEWHERE BTWN 500-350 FT. LNDG FLAPS (30 DEGS) WERE EXTENDED; CHKLIST COMPLETED AND WE ACCOMPLISHED A NORMAL LNDG THAT WAS UNEVENTFUL. FROM MY PERSPECTIVE; AS THE SO; THE PROB AROSE DUE TO FATIGUE AND EXHAUSTION. CONTRIBUTING FACTORS: ACR NONSTANDARD POLICY OF PROVIDING FOR ADEQUATE CREW REST (BOTH BEFORE A TRIP AND ENRTE). TO THE BEST OF MY RECOLLECTION; THE PROB WAS DISCOVERED: VIA THE CHKLIST; AUTOMATION; AND TWR OBSERVATION. I HAD BEEN AWAKE FOR NEARLY 24 HRS AT THE TIME OF THIS EVENT. I DON'T RECALL TAKING A CREW BREAK. AT MY SENIORITY; WE DON'T ALWAYS DISPATCH WITH A THIRD PLT. CONSEQUENTLY; I DON'T ROUTINELY RETIRE TO THE CABIN (CREW REST SEAT) BECAUSE HALF THE TIME IT'S NOT AVAILABLE. I CAN'T OVEREMPHASIZE ENOUGH WHAT A HINDRANCE OR LIABILITY ACR'S NONSTANDARD PRACTICE OF FLYING WITH/WITHOUT THE THIRD PLT IS. THE APCH WAS THOROUGHLY BRIEFED BY THE PF. I REMEMBER WHAT I THOUGHT MIGHT HAVE BEEN SOME UNNECESSARY SPD ASSIGNMENTS BY EGKK APCH. HOWEVER; AFTER THE CAPT CALLED FOR THE 'LNDG CHKLIST;' I RELAXED A BIT (MY FAULT); AND DIDN'T FOLLOW THE LINE-BY-LINE EXECUTION (TO INCLUDE GEAR) OF THE CHKLIST. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATED THAT THE BRITISH AERONAUTICAL AUTHS NOTIFIED THE FAA AND THE ACR ABOUT THIS INCIDENT. THE RPTR'S CONTRIBUTION TO THIS EVENT WAS FATIGUE AND HAVING BEEN TOLD VERY RECENTLY BY A CHK AIRMAN THAT THE RELIEF OFFICER HAD NO PLACE RESPONDING TO CHKLISTS. THIS LED THE RPTR TO BE LESS VIGILANT. THE END RESULT OF THIS EVENT WAS THE FAA IS NOT TAKING ENFORCEMENT ACTION; BUT THE ACR GAVE THE PLTS 2 WKS OFF WITHOUT PAY. SUPPLEMENTAL INFO FROM ACN 677619: FLT XXX INBOUND TO LONDON'S GATWICK ARPT. I WAS FLYING ON VISUAL APCH; CALLED FOR LNDG CHKLIST AT ABOUT 1000 FT AGL HAD FLAPS 20 DEGS OUT. CALLED FOR FLAPS 30 DEGS. THE FO MISSED THE CALL FOR GEAR DOWN. AT ABOUT SAME TIME THE CTL TWR CALLED TO SAY OUR GEAR WAS NOT DOWN. WE ADVISED THE TWR THAT WE WERE AWARE; LOWERED GEAR NOT LESS THAN 500 FT AGL; LANDED NORMAL. HAVING FLOWN ALL NIGHT FROM ZZZ TO LGW WE MISSED THE GEAR CALL; ALL ELSE WAS NORMAL. I WILL NOW DO CHKLIST EARLIER WHEN FATIGUED.