PC Steve Hutton and other Wiltshire Police officers had tried to pull over a suspicious vehicle travelling over the speed limit in Swindon.
A "stinger" device was used to stop it and the four occupants fled on foot.
PC Hutton said he chased one of the men and decided to shout that he had a dog, adding a "few fake barks", which made the man give himself up.
"He stopped and we got up to him before he realised there wasn't a dog and he was arrested," he said.
"By the look on his face you could see he was a little bit disappointed with himself.
"Some people on the shift think I should now do a dog-handler job without the dog."
The man arrested has since been released without charge, but police are still investigating the incident.

The FTSE 100 index closed 2.27% higher, while the FTSE 250 closed up 1.68%.
The pound fell 1.2% against the dollar to $1.3264 after Mr Carney said a deteriorating outlook meant action from the Bank was likely during the summer.
Shares in the US rose, with both the Dow Jones and S&P 500 index up by 0.6% in morning trading.
The past few days have seen huge swings on the world's financial markets as traders and investors struggled to assess the impact of the UK's vote to leave the European Union.
After two days of heavy falls following the vote, shares spent two days recovering, and on Wednesday, the FTSE 100 ended above the level it had closed at last Thursday.
However, the FTSE 250 index - which contains more UK-focused companies - still remains well below its pre-referendum level.
"The blue chip [FTSE 100] index is stuffed full with big international firms and it is these companies propelling the rise. The heavy weighting towards these groups is very misleading," said Joe Rundle, head of trading at ETX Capital.
"The likes of Fresnillo, Randgold, AstraZeneca, Royal Dutch Shell, British American Tobacco - these are hardly dependent on, or reflective of, the UK economy. They're listed in London but their earnings come from abroad.
"There is a key distinction. UK-focused firms are doing much, much worse. Easyjet, Lloyds, Barclays, RBS, Barratt, Taylor Wimpey - they've all recorded 20% losses since the Brexit vote."
Shares in RBS were one of the biggest fallers on the FTSE 100 on Thursday, dropping 4.8%.
The pound is well below the $1.50 rate it touched last Thursday before the outcome of the referendum became clear.
As well as falling against the dollar after Mr Carney's speech, it also tumbled 1.1% against the euro at â‚¬1.1962.
Analysts continued to warn that the recent market recovery might only be temporary.
"The odds may be against them, but investors are hoping that the worst is over for currencies and equities," Kathy Lien, managing director of foreign exchange strategy at BK Asset Management, said in a note.
"But considering there's been no additional clarity on the terms of Brexit or the outlook for the UK economy and global economy since Britain's decision to leave the European Union on Friday, we don't see fundamental support for the recent moves."
Analysts at Swiss bank UBS have cut their end of year forecast for the FTSE 100 to 5,500 from 6,500.
"We see a significant amount of uncertainty around the UK over the next few months. We do not know who the prime minister will be, or when, or if, Article 50 is invoked and there are even possibilities of a general election given the current fluidity of UK politics," UBS said.
The price of gold was little changed at $1,318.10 an ounce on Thursday. The precious metal is viewed as a safe investment in times of uncertainty and gold price hit a near two-year high of $1,358.20 on Friday in the wake of the referendum.
A policeman has told how he "barked" like a dog in order to fool a suspect and arrest him.
[NEXT_CONCEPT]
UK shares have risen and the pound has fallen after Bank of England governor Mark Carney hinted at fresh stimulus measures after the Brexit vote.