Recently, the sequence spaces have studied in many areas and has many applications. Furthermore, the sequence space has been applied extensively across many fields. Another sequence space that has recently been studied is the non-absolute type Cesa ̀ro sequence space.In our work, we provide the proof of a non-absolute type Cesa ̀ro sequence space, where norm is defined as ‖x‖_p=(∑_(ν=1)^∞▒|1/ν ∑_(j=1)^ν▒x_j |^p )^(1/p) ∀ p∈R, 1≤p<∞ and ‖x‖_∞= sup⁡{|1/ν ∑_(j=1)^ν▒x_j |;ν∈N}. Also, it is proved that the Non-absolute Cesa ̀ro sequence space is solid, BK-space and an FK-space with the AK-property.