The offer of 20.25p a share represents a 30.2% premium on HotGroup's average closing share price of 15.55p during the 12-month period before Trinity Mirror's initial approach.
Trinity Mirror said it was continuing its recent strategy of acquisitions in key classified markets and the move would increase revenue diversification across recruitment services, online and print.
Sly Bailey, chief executive of Trinity Mirror, said: "We see exciting opportunities for the management and continued development of the HotGroup alongside our existing recruitment advertising businesses."
HotGroup was founded in 1999 and has grown by making several acquisitions, most recently from Guardian Media Group for £6.7m. Its other sites include , and .
The acquistion is the third in as many months for the Daily Mirror owner.
In August, it bought the owner of financial recruitment site for an initial £10.5m and a further performance-related £2.6m. In July, it bought property website for an initial £11.3m and a further performance-related £5.3m.
It has also launched its own local recruitment sites and is about to relaunch the websites of national newspapers the Sunday Mirror and The People, as well as Scottish titles The Daily Record and The Sunday Mail.
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