放弃的英文单词有：give up，abandon，renounce。
give up
1、放弃；戒除
If you give up something, you stop doing it or having it.
Coastguards had given up all hope of finding the two divers alive.
海岸警卫队对两位潜水员生还已完全不抱希望。
2、投降；认输；放弃
If you give up, you decide that you cannot do something and stop trying to do it.
After a fruitless morning sitting at his desk he had given up.
他在书桌前徒劳地坐了一上午之后便放弃了。
3、辞去（工作）
If you give up your job, you resign from it.
She gave up her job to join her husband's campaign...
她辞去工作，加入到丈夫的宣传活动中。
4、 把…让给
If you give up something that you have or that you are entitled to, you allow someone else to have it.
Georgia refuses to give up any territory...
格鲁吉亚拒绝出让任何领土。
5、自首；投案
If you give yourself up, you let the police or other people know where you are, after you have been hiding from them.
A 28-year-old man later gave himself up and will appear in court today.
后来一位28岁的男子向警方自首了，他将于今天出庭。
abandon
1、~ sb (to sth)
（不顾责任、义务等）离弃，遗弃，抛弃
to leave sb, especially sb you are responsible for, with no intention of returning
The baby had been abandoned by its mother.
这个婴儿被母亲遗弃了。
The study showed a deep fear among the elderly of being abandoned to the care of strangers.
研究表明，老人十分害怕被丢给陌生人照管。
2、~ sth (to sb/sth)
（不得已而）舍弃，丢弃，离开
to leave a thing or place, especially because it is impossible or dangerous to stay
Snow forced many drivers to abandon their vehicles.
大雪迫使许多驾驶者弃车步行。
They had to abandon their lands to the invading forces.
他们不得不舍弃土地，让侵略军占领。
He gave the order to abandon ship (= to leave the ship because it was sinking) .
他下令弃船（因船快要沉没）。
renounce
1、声明放弃；宣布放弃 to state officially that you are no longer going to keep a title, position, etc.
同义词： give up
to renounce a claim/title/privilege/right
宣布放弃要求 / 头衔 / 特权 / 权利
2、宣布与…决裂；宣布摒弃
to state publicly that you no longer have a particular belief or that you will no longer .behave in a particular way
a joint declaration renouncing the use of violence.
声明放弃使用暴力的联合宣言。
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