The initial rate is 4.89% if using BM Conveyancing, or 5.04% if using an alternative conveyancing service.
The products are available at up to 75% LTV and have a flat completion fee of £995.
Andy Young, chief executive at TBMC, said: “We are delighted to be offering these excellent buy-to-let mortgages with BM Solutions, available by limited distribution via TBMC.
“The 4.89% two-year fixed rate, available when using BM Conveyancing, is especially competitive up to 75% LTV. The flat fee of £995 will make this a popular option for intermediaries and their landlord clients.”