In a proxy signature scheme, an original signer delegates his/her singing power to a proxy signer and the proxy signer can sign messages on behalf of the original signer. Blind signature can ensure anonymity of electronic coins. Unforgeability and unlinkability are its two main properties. The proxy blind signature scheme ensures security properties of the two kinds of signature schemes. All of proposed proxy blind signature schemes based on discrete logarithm problems (DLP) can't provide strong unlinkability. To overcome the weakness, a new and practical proxy blind signature scheme with warrant is proposed. The new scheme outperforms Tan et al's scheme and is nearly the same as Lai et al's scheme in terms of computational complexity. However, the new scheme is securer than Tan et al's scheme and Lai et al's scheme.