John 15:5 (NIV84): “I am the vine; you are the branches. If a man remains in me and I in him, he will bear much fruit; apart from me you can do nothing."
It may seem that the Scripture speaks of two kinds of fruit in a disciple's life. Paul speaks of the character producedin a disciple by the Holy Spirit as fruit: "But the fruit of the Spirit is love, joy, peace, patience, kindness, goodness, faithfulness, gentleness and self-control." Galatians 5:22–23 (NIV84), and on the other hand Scripture repeatedly speaks of slanting seeds and bearing fruit as a figure for evangelism, or sharing the Good News and bringing people into salvation under the lordship of Jesus, in fulfillment of the great commission. Paul also writes :1 Corinthians 3:6–7 (NIV84): "I planted the seed, Apollos watered it, but God made it grow." where the 'fruit' is clearly the Corinthian believers.
It can be helpful to extend the metaphor of Fruit, to see that really these two ideas are joined together. Fruit is the seed bearing body of a plant: a nut, an apple, a zucchini. In every case the seed itself is encased in an attractive container. (Not every fruit is useful to a human [Genesis 2:16, anyone?], but even those that are poisonous to us are nutritious and good to some other creature.) The goal of producing fruit is for it to be consumed, so that the seed is taken with the fruit. Later the seed will be <ahem> 'deposited,' germinate and grow.
The Spirit produces fruit in the disciple. That fruit - love, peace, patience, etc, is very attractive, and many will draw near you to receive the love, enjoy the peace, and try the patience (ouch!) that becomes evident in a believer's life. The fruit is meant to be given away,because embedded in the fruit is the seed of the Word of God, which, when planted in the good soil of the heart, will spring up by faith as new life in a new disciple.
The fruit of the Spirit is "the seed bearing body" of your life in Christ, which encourages those your meet to receive the life bearing word of the Gospel. Produce much fruit, share the Word, and help the seeds you plant to spring up and bear more fruit - ten, fifty or a hundredfold!