The posters are part of an overarching strategy entitled "thought for the commute" and present views from four famous humanists – the novelists George Eliot and Virginia Woolf, and the philosophers Bertrand Russell and AC Grayling.
Thought for the commute references the 'Thought for the Day' slot on BBC Radio 4’s Today programme, which only includes religious viewpoints.
The Eliot poster, for example, features the answer: "Wear a smile and make friends; wear a scowl and make wrinkles. What do we live for if not to make the world less difficult for each other?"
Alexander Taylor designed the ads, which appear on Exterion Media sites in London Underground stations across the city including Angel, Green Park, Cockfosters, Oval and Seven Sisters.
The posters are supported by a social media campaign that offers a range of opinions and thoughts from humanist writers, as well as quizzes and other activity aimed at encouraging people to think about life. People are encouraged to tweet their own answers and include selfies with their favourite posters.
The campaign follows an earlier video series starring Stephen Fry called "That’s Humanism!" and attempts by the BHA to get the BBC to include non-religious views in 'Thought for the Day'.
Andrew Copson, the chief executive of BHA, said: "Most non-religious people are happy and secure, living ethical and fulfilling lives on the basis of reason and humanity. To them hopefully we are just providing something interesting to think about amid the daily grind.
"To some others, who may feel less secure in their beliefs, we're hopefully providing a first glimpse of a way of thinking about life that fits with their own non-religious approach, and the knowledge that their deepest beliefs, though perhaps unsystematic and implicit, are coherent and respectable and shared by many, including by the inspirational figures on these posters."