The number of recorded sexual offences increased in the first three months of 2015 and in the same period this year.
Some 2,301 were recorded in the 12 months to the end of March 2016, an increase of 175, or 8 per cent, on the previous year.
The latest crime figures released by the Central Statistics Office (CSO) show the number of attempts or threats to murder, assaults, harassments and related offences increased by 1,100, or 7 per cent.
Assault causing harm and poisoning rose by 201 offences, while other assaults increased by 1,071.
Offences of dangerous driving leading to death increased by one over the same period.
The annualised total for kidnapping and related offences rose by 13 to 144, while false imprisonment was up by 44 per cent.
The number of abductions of those under 16 and human trafficking offences decreased.
The number of homicides committed in the 12 months to the end of March was 62, one less than last year.
There was a drop in burglaries, thefts, weapons offences and damage to property.
Tánaiste and Minister for Justice and Equality, Frances Fitzgerald, said since the launch of Garda Operation Thor in November last year there had been a “dramatic reduction” in the number of burglaries.
The statistics from the CSO show an 18 per cent drop for the 12 months to March 31st.
“The new CSO figures also show that in the first three months of 2016 there were 36.47 per cent less burglaries than in the first three months of 2015,” she said.
“There have been huge achievements made by the gardaí under Operation Thor, including the provision of increased protection for householders throughout the country.”
The decrease in burglary is accompanied by reductions in other property crimes.
Robbery, extortion and hijacking offences fell by 6.7 per cent to 2,430 recorded year-on-year.