NMAC OCCURS ON THE EDGE OF THE LOWER 1800 FT FLOOR OF THE CLASS B AIRSPACE 5 NM FROM TEB ON THE 305/05 DEG RADIAL AT NIGHT. A CITATION WAS ON THE VOR A APCH TO TEB WITH XING VFR TFC AT 2500 FT OUTSIDE THE 1800 FT FLOOR AREA AND UNDER THE 3000 FT FLOOR OF CLASS B. APCH CTL HAD ISSUED TFC AND TOLD ACFT X TO DSND TO 2000 'IMMEDIATELY.' ACFT Y SAID HE HAD 'TFC.' PIC OF ACFT X PUSHED OVER AND MISSED ACFT Y BY 100-150 FT.

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N90 ISSUED A CLRNC; 'FLY HDG 100 DEGS TO JOIN VOR DME A APCH COURSE FOR TEB ARPT.' AS WE BECAME ESTABLISHED APCH CTL BEGAN TO CALL NUMEROUS TARGETS (VFR) IN THE AREA. CONDITIONS WERE NIGHT; VMC; VISIBILITY 15 MI. AS THE PNF; I WAS AGGRESSIVELY LOOKING FOR TFC. DUE TO OUR ALT AND GND LIGHTS; IT WAS VERY HARD TO SEE TFC AT ALL. WE HAD ALL LIGHTS ON. AT APPROX 15 NM; THE CLRNC; 'CROSS WANES (TEB 305 DEG RADIAL 10.8 DME) AT 3000 FT; CLRED VOR DME A;' WAS ISSUED. AS WE CROSSED WANES; APCH CTL CALLED TFC AT 10-11 O'CLOCK; ALT IN THE MID 2000'S (2500 FT). APCH CTL TOLD THE VFR ACFT 'CITATION WILL BE OUT OF 3000 FT FOR 2000 FT.' AS ACFT APCHED JAYMO (TEB 7.8 DME) APCH CTL TOLD US TO DSND TO 2000 FT IMMEDIATELY. THE VFR ACFT SAID 'I HAVE THE TFC IN SIGHT.' WE WERE NOT IN VISUAL CONTACT WITH THE VFR ACFT. WE WERE PASSING THROUGH TEB 5.6 DME 2300 FT WHEN THE CAPT (PF) PUSHED FORWARD ON THE CTLS. AT THAT MOMENT I SAW AN ACFT COMING 90 DEGS TO OUR FLT PATH; 100-150 FT ABOVE US; A BLUR OF LIGHT. AT THAT TIME I INFORMED N90 THAT WE WANTED TO RPT 'A NEAR MISS.' I DO NOT BELIEVE THAT THE CONFLICTING VFR ACFT EVER HAD US VISUALLY. THE N90 APCH CTLR RESPONDED; 'I HAVE BEEN CALLING TFC TO YOU; HE HAS YOU IN SIGHT.' THEN THE N90 APCH CTL TELEPHONE NUMBER WAS GIVEN TO US; THE CAPT INFORMED OUR COMPANY; WHO CALLED APCH CTL.