The performance of continuous cross-flow micellar enhanced ultrafiltration (MEUF) is evaluated for the selective separation of nickel (Ni2+) and cobalt (Co2+) from the aqueous stream using anionic surfactant sodiumdodecyl sulfate (SDS) and the mixture of the anionic and nonionic surfactant (SDS+TritonX-100) with the addition of iminodiacetic acid (IDA) as a chelating agent. Operating parameters like operating time (upto 100min), cross flow rate (100175mL/min.), pH of the feed solution (3-6), molar concentration ratio of the chelating agent to metals (C/M ratio, 0.52.5), and molar concentration ratio of the surfactant to metals (S/M ratio, 59) were studied to investigate the effectiveness of the process on selective separation. For the single surfactant system at all empirically selected parameters, 92% Ni2+ in the permeate and 94% Co2+ in the retentate was achieved whereas for the mixed surfactant system 93% Ni2+ in permeate and 84% Co2+ in retentate was achieved. Flux variation for single and mixed surfactant system was studied. Flux observed for the single surfactant system was 36L/m2.h and for the mixed surfactant system was 31.5L/m2.h. Flux measurement also indicates insignificant fouling of the membrane.