Ms Adams said all burglary offences included significant jail terms, but it was ultimately up to judges to decide sentences.
"I am satisfied that the range of available penalties provided in legislation for convicted burglars is appropriate," she said.
Mr Seymour pointed out that harsher penalties for repeat burglars in the Netherlands had cut burglary and car theft rates by 40 per cent.
The Act Party wants a "three strikes" regime for burglary, which would introduce a mandatory three-year jail sentence for a third offence.
Mr Seymour said a large proportion of burglars - as high as 28 per cent - with two existing convictions were not given a prison sentence on their third "strike".
In response, Ms Adams said she had seen no evidence that greater use of imprisonment terms would lead to a reduction in reoffending.
"What we have seen is that imprisonment is already the most common sentence for burglary offences, and yet there is still a recidivism rate that is too high."
Ms Adams cited figures which showed more than half of recidivist burglars were given a prison term.