The NSW Police counter-terrorism unit is investigating a string of racist, homophobic and anti-semitic emails targeting Wentworth federal MP Kerryn Phelps.

The fixated persons unit is also involved after Dr Phelps made a complaint to NSW Police following the distribution of the latest email which said "LGBT are no better than pigs or dogs".

Dr Phelps' wife, Jacqui, has also provided police with a statement after she said she was followed by an unknown person in Double Bay and Bondi Junction earlier this week.

Ten similar emails targeting Dr Phelps have been sent to business and personal addresses across the country since just before the October byelection.

Read more: Sydney Morning Herald