It was named after the founder of the Christian and Missionary Alliance, Albert Benjamin Simpson.
The school offers a complete elementary and secondary education for boys and girls, except for preschool level.
B. Simpson Alliance School started as a dream of the CAMACOP to establish a basic education program as a part of its ministry emphasis.
B. Simpson Alliance School opened on 13 June 2000 under the management of principal Lolita V. De Sosa.
The SSG consists of the president, vice-president, secretary, treasurer, auditor, press information officer and representatives from grade 4 to third year.