FIR fILTERS ARE RECURSIVE AND IIR Filters are non recursive.
In IIR fILTERS THERE IS DELAY IN THE OUTPUT SIGNAL TO BE 
SAMPLED AT SAMPLING FREQUENCY WHERE AS IN FIR filter the 
ontput signal sampled is the sum of previous input samples.

You have this flipped, IIR filters are recursive and FIR filters are non-recursive. Also FIR filters are linear phase and IIR filters are not; several applications are sensitive to non-linear phase (communications, medical, etc). In implementation, IIR filters require fewer taps (smaller order) and thusly are easier to implement and have fewer zeros. Also FIR filters are always stable, while IIR filters can often become unstable in implementation. The previous answer is correct about delays.

fir filter are highly stable.we can obtain linear phase in
fir filter.rounding error is abscent in fir filter.