The injured are being treated at a local hospital.
The first bomb went off about twenty minutes earlier about 50 metres away from the second bomb, he said. Nobody was injured in the first explosion.
The bombs were hidden in plant pots and detonated by mobile phones, the police said, according to the BBC's Jonathan Head.
Police are investigating and as yet do not know the motive or the identity of the bombers, Yousamran said.
The timing suggested it might be an effort to embarrass the military government that took power two years ago.
A Ministry of Foreign Affairs spokesman said the New Zealand Embassy in Bangkok had been in contact with Thai authorities and there was no information to suggest any New Zealanders had been affected by the bombing.
There are currently 512 New Zealanders registered on the government website SafeTravel as being in Thailand. The ministry had messaged all registrants.
"We are advising New Zealanders in Thailand to exercise a heightened degree of vigilance in public places, follow any instructions issued by the local authorities and monitor the media to stay informed of developments," the spokesman said.
In a separate incident earlier on Thursday, a bomb exploded at a market in the southern Trang province in Thailand, injuring six people, police said.
Police believe that explosion was related to a local dispute.
It is common for small blasts to rock Thailand during times of heightened political tension, but there have been few such incidents in the past year and it is rare for tourist destinations to be targeted.
Hua Hin is a high-end resort town south of Bangkok that is a popular with both local and foreign tourists.
It is also home to a palace for years frequented by Thailand's revered King Bhumibol Adulyadej, the world's longest reigning monarch.
The 88-year-old is currently hospitalised in Bangkok for a myriad of health complications.
The bombings hit Hua Hin ahead of a long holiday weekend in the kingdom, with Thais set to celebrate Queen Sirikit's birthday on Friday.
The blasts also come days before the one-year anniversary of the last major bombing in Thailand, an attack in the capital that killed 20 people on August 17, mostly foreign tourists.
The explosive was planted in a popular Hindu shrine in the capital and was the deadliest assault of its kind in recent history.
Thai authorities have accused two Uighur men from western China of the bombing.
They have both denied involvement in the attack and their trial is set to begin later this month.
Thailand's military junta, which seized power in 2014 after a decade of at times deadly political unrest, has touted increased stability in the kingdom as a major accomplishment of its rule.
But the generals have been unable to quell a festering Islamic insurgency in the three most southern provinces - nearly 1000km away from Hua Hin.
The conflict, which is largely contained to the far south region, has blighted the kingdom for over a decade and left over 6500 people dead.
- AAP, Daily Mail