Narrative:

Crossed arg at FL320; turned direct to fam. It was VFR and we observed an aircraft directly above us at FL330 apparently on the same track. Shortly after our turn; ATC directed us to descend to FL310. Altitude was set in altitude window and entered into FMS and we began our descent. Aircraft then directed a turn to a heading of 300 degrees. As we began our turn we received a TA quickly followed by an RA commanding a 2000-2500 FPM climb. I disconnected the autoplt; rolled wings level and pulled the nose up. As I did this; first officer notified ATC that we had received a TCAS alert and were climbing in response. ATC controller responded 'don't climb traffic above you.' I began to level off and TCAS alerted again; this time commanding a 2000-2500 FPM descent. I pushed the nose over to comply and after vsi needle reached green band; I looked up and observed traffic passing from right to left in my windscreen. The vsi/TCAS screen indicated he passed 300 ft above and approximately 1/2 - 1 mi ahead. TCAS reported clear of conflict and we leveled at FL310. Supplemental information from acn 698802: another aircraft on the frequency stated that he was responding to an RA. The TCAS issued a 'clear of conflict' message and the captain returned to our assigned altitude and heading.

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Original NASA ASRS Text

Title: B757 FLT CREW HAS A TCAS RA AFTER BEING ISSUED A DSCNT CLRNC FROM ATC.

Narrative: CROSSED ARG AT FL320; TURNED DIRECT TO FAM. IT WAS VFR AND WE OBSERVED AN ACFT DIRECTLY ABOVE US AT FL330 APPARENTLY ON THE SAME TRACK. SHORTLY AFTER OUR TURN; ATC DIRECTED US TO DSND TO FL310. ALT WAS SET IN ALT WINDOW AND ENTERED INTO FMS AND WE BEGAN OUR DSCNT. ACFT THEN DIRECTED A TURN TO A HDG OF 300 DEGS. AS WE BEGAN OUR TURN WE RECEIVED A TA QUICKLY FOLLOWED BY AN RA COMMANDING A 2000-2500 FPM CLB. I DISCONNECTED THE AUTOPLT; ROLLED WINGS LEVEL AND PULLED THE NOSE UP. AS I DID THIS; FO NOTIFIED ATC THAT WE HAD RECEIVED A TCAS ALERT AND WERE CLBING IN RESPONSE. ATC CTLR RESPONDED 'DON'T CLB TFC ABOVE YOU.' I BEGAN TO LEVEL OFF AND TCAS ALERTED AGAIN; THIS TIME COMMANDING A 2000-2500 FPM DSCNT. I PUSHED THE NOSE OVER TO COMPLY AND AFTER VSI NEEDLE REACHED GREEN BAND; I LOOKED UP AND OBSERVED TFC PASSING FROM R TO L IN MY WINDSCREEN. THE VSI/TCAS SCREEN INDICATED HE PASSED 300 FT ABOVE AND APPROX 1/2 - 1 MI AHEAD. TCAS RPTED CLR OF CONFLICT AND WE LEVELED AT FL310. SUPPLEMENTAL INFO FROM ACN 698802: ANOTHER ACFT ON THE FREQ STATED THAT HE WAS RESPONDING TO AN RA. THE TCAS ISSUED A 'CLR OF CONFLICT' MESSAGE AND THE CAPT RETURNED TO OUR ASSIGNED ALT AND HDG.

Data retrieved from NASA's ASRS site as of January 2009 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.