Berkshire Macadam employs 13 staff and operates two asphalt plants at Reading, Berkshire and Aldershot, Hampshire.
Latest accounts for the company for the year to January 2016 show it had a turnover of £7.8m and made a pre-tax profit of £3.2m.
Conway said the acquisition is part of its strategy to ensure it is well positioned to boost asphalt supply for highways customers operating on both the strategic and local road networks.
The two new plants, which produce a total of 80,000 tonnes a year, will complement FM Conway’s existing facilities at Erith and Heathrow.
Michael Conway, CEO of FM Conway, said: “Continued investment in our plant infrastructure underpins our self-delivery model.
“This acquisition will strengthen our production capability and ability to provide customers with greater network coverage and the added security that comes hand-in-hand with on-demand access to high-quality materials.
“These two new plants will build on the success of our Erith and Heathrow facilities which have set a benchmark for asphalt recycling, ensuring that our clients can leverage the environmental and economic benefits which come from resource efficiency.”