A third of the posts will be based in the Highlands and Islands and the north east, the company said.
The 112 new jobs are with the firm’s local network business Openreach, which already employs 2,800 people in Scotland.
BT is also investing £126 million in the digital Scotland superfast broadband fibre rollout.
The new engineers will help build and maintain the network infrastructure and deliver fibre products and services into homes and offices.
Fraser Rowberry, general manager of Openreach in Scotland, said: “Millions of Scots depend on our services and rely on us to keep them connected.
“Across the UK, we plan to recruit around 500 more front-line engineers this year, as well as apprentices and graduates. I’m delighted such a high proportion of this recruitment will be in Scotland.
“Our engineers are passing another 5,000 Scottish premises a week with fibre broadband at the same time as completing 12,000 jobs a week to install new lines, repair faults and keep people and businesses connected.
“As demand for our services grows, from household fibre to high speed lines for the business community, our new recruits will be a welcome boost. They’ll also be in place ahead of any severe weather impact this winter.”
Mr Rowberry added: “These are high quality posts which offer engineers the chance of a fantastic career in a fast-paced, constantly evolving industry regardless of their background or gender.”