| Election held 7th May 1981 | ||
| GREENWICH CONSTITUENCY | ||
| Mrs D F M Wood | Labour | 12,857 |
| P J Bassett | Conservative | 6,571 |
| A J W Renouf | Liberal | 2,001 |
| Ronald Mallone | Fellowship | 637 |
| L Bristo | National Front | 319 |
| Mrs J R Dunster | New National Front | 225 |
| Mrs P Hasford-Miller | Abolition of Rates | 129 |
| WOOLWICH EAST CONSTITUENCY | ||
| Mrs M E Garside | Labour | 14,596 |
| D A S Tredinnick | Conservative | 4,920 |
| D J Hall | Liberal | 2,094 |
| N P F Drey | Ecology | 260 |
| F S Hitches | National Front | 190 |
| H E Dunster | New National Front | 186 |
| A Clark | Workers Revolutionary | 169 |
| WOOLWICH WEST CONSTITUENCY | ||
| N Davies | Labour | 14,431 |
| D G Ashby | Conservative | 11,522 |
| E J Randall | Liberal | 3,034 |
| D R Daniels | Ecology | 399 |
| W J Lovell | National Front | 241 |
| S L Skeggs | New National Front | 117 |