Let $G$ be a simple graph. The total graph $G+{+++}$ is the graph with vertex set $V(G)∪E(G)$

in which the vertex $x$ and $y$ are joined by an edge if one of the following conditions holds: (i) $x

y∈V(G)$

and $x$ and $y$ are adjacent in $G$

(ii) $x

y∈E(G)$

and $x$ and $y$ are adjacent in $G$

(iii) one of $x$ and $y$ is in $V(G)$and the other is in $E(G)$

and they are incident in $G$.$G+{---}$ is the complement of $G+{+++}$. In this paper

it is shown $G+{---}$ is planar if and only if either $｜V(G)｜≤3$ or $G$ is isomorphic to one of the following graphs: $2K-2

C-4

K-4-e

K-4

2K-1+ K-3

K-{1

4}

K-1+K-{1

3}

2K-1+ P-3$.